That is suppose to be a big "zinger" according to the old Earth day-age theory folks and the Darwinists. But it is not a question that bothers the Bible believing Christian nor does distant star light contradict the Bible. The Bible indicates the stars are infinite from man's perspective (Gen. 15:5, 22:17, etc.). It also says the stars are very far away,
"Is not God in the height of heaven? and behold the height of the stars, how high they are!" (Job 22:12)
Note the exclamation mark at the end of the sentence. The Bible hardly ever uses exclamation marks, so when you see one you need to pay attention.
Distant star light coming from billions of light years away does not contradict what the Bible says about stars. But the Darwinists believe that this contradicts a young universe. However, the Bible is very clear that God made the stars "for signs, and for seasons, and for days, and years" and "to give light upon the earth" with the moon and sun (Gen. 1:14-18). So it isn't that hard to figure out, God initially set the speed of the stars light so fast that they gave light upon the Earth on the fourth day of creation.
 And God said, Let there be lights in the firmament of the heaven to divide the day from the night; and let them be for signs, and for seasons, and for days, and years:
 And let them be for lights in the firmament of the heaven to give light upon the earth: and it was so.
 And God made two great lights; the greater light to rule the day, and the lesser light to rule the night: he made the stars also.
 And God set them in the firmament of the heaven to give light upon the earth,
 And to rule over the day and over the night, and to divide the light from the darkness: and God saw that it was good.
 And the evening and the morning were the fourth day.
Then the Darwinists come out and say, "Oh, so you're appealing to miracles to solve the problem, huh?"
To which I respond: duh. We're talking about God SPEAKING the universe into existence with the breath of His mouth. Everything I believe about creation is a miracle.
Psalms 33:6 By the word of the LORD were the heavens made; and all the host of them by the breath of his mouth.
 The heavens declare the glory of God; and the firmament sheweth his handywork.
 Day unto day uttereth speech, and night unto night sheweth knowledge.
 There is no speech nor language, where their voice is not heard.
 Their line is gone out through all the earth, and their words to the end of the world. In them hath he set a tabernacle for the sun,
 Which is as a bridegroom coming out of his chamber, and rejoiceth as a strong man to run a race.
 His going forth is from the end of the heaven, and his circuit unto the ends of it: and there is nothing hid from the heat thereof.
But the Big Bang theory is also a MIRACLE itself, but no Darwinist will ever admit it. The Big Bang theory says that ALL the matter, energy, and space in the entire universe was squished into a little tiny dot smaller than the period at the end of a sentence. They believe that this little singularity exploded and produced the universe and that the universe is still expanding from that little explosion. That is the most unscientific garbage I have ever heard of. Nobody can replicate a Big Bang because nobody has observed another singularity. Nobody has ever been able to pack that much matter, energy, and space into that small of a dot either. They also don't know why it exploded or how it exploded. They have also not been able to replicate an explosion that powerful. Nor have they been able to say WHAT exactly exploded. The theory is unscientific, it is RELIGIOUS to the core. Darwinian naturalism is a religion hiding under the name "science" (falsely so called, 1 Tim. 6:20).
The Darwinists will say, "But we have scientific evidence for the Big Bang, the universe is expanding! Which means it had to have always been expanding which means it had to have originated as a tiny singularity." Really? An expanding universe proves the Big Bang? The atheists better watch their step, that kind of reasoning also proves that the Bible is true. The Bible teaches an expanding universe...
Psalms 104:1-2 Bless the LORD, O my soul. O LORD my God, thou art very great; thou art clothed with honour and majesty. Who coverest thyself with light as with a garment: who stretchest out the heavens like a curtain:
Isaiah 40:22 It is he that sitteth upon the circle of the earth, and the inhabitants thereof are as grasshoppers; that stretcheth out the heavens as a curtain, and spreadeth them out as a tent to dwell in:
Isaiah 44:24 Thus saith the LORD, thy redeemer, and he that formed thee from the womb, I am the LORD that maketh all things; that stretcheth forth the heavens alone; that spreadeth abroad the earth by myself;
Isaiah 45:12 I have made the earth, and created man upon it: I, even my hands, have stretched out the heavens, and all their host have I commanded.
Isaiah 51:13 And forgettest the LORD thy maker, that hath stretched forth the heavens, and laid the foundations of the earth; and hast feared continually every day because of the fury of the oppressor, as if he were ready to destroy? and where is the fury of the oppressor?
Jeremiah 10:12 He hath made the earth by his power, he hath established the world by his wisdom, and hath stretched out the heavens by his discretion.
Jeremiah 51:15 He hath made the earth by his power, he hath established the world by his wisdom, and hath stretched out the heaven by his understanding.
Zechariah 12:1 The burden of the word of the LORD for Israel, saith the LORD, which stretcheth forth the heavens, and layeth the foundation of the earth, and formeth the spirit of man within him.
An expanding universe does not prove that the universe use to be a tiny singularity that continuously expanded. All it proves is that the universe is expanding. The singularity theory is an INTERPRETATION of the fact that the universe is expanding. Believing the universe use to be a singularity because it has expanded is like saying that a blown up balloon use to be a singularity because it has blown up and expanded. When in fact, the balloon had a starting size that it expanded from. It was never a tiny singularity.
What is ironic about the light travel problem that the Darwinists accuse the Bible believers of having is that the Darwinists have a light travel problem themselves called the horizon problem.
Light-travel time: a problem for the big bangby Jason Lisle, Ph.D.
"The ‘distant starlight problem’ is sometimes used as an argument against biblical creation. People who believe in billions of years often claim that light from the most distant galaxies could not possibly reach earth in only 6,000 years. However, the light-travel–time argument cannot be used to reject the Bible in favour of the big bang, with its billions of years. This is because the big bang model also has a light-travel–time problem.
The backgroundIn 1964/5, Penzias and Wilson discovered that the earth was bathed in a faint microwave radiation, apparently coming from the most distant observable regions of the universe, and this earned them the Nobel Prize for Physics in 1978.1 This Cosmic Microwave Background (CMB) comes from all directions in space and has a characteristic temperature.2,3 While the discovery of the CMB has been called a successful prediction of the big bang model,4 it is actually a problem for the big bang. This is because the precisely uniform temperature of the CMB creates a light-travel–time problem for big bang models of the origin of the universe.
The problemThe temperature of the CMB is essentially the same everywhere5—in all directions (to a precision of 1 part in 100,000).6 However (according to big bang theorists), in the early universe, the temperature of the CMB7 would have been very different at different places in space due to the random nature of the initial conditions. These different regions could come to the same temperature if they were in close contact. More distant regions would come to equilibrium by exchanging radiation (i.e. light8). The radiation would carry energy from warmer regions to cooler ones until they had the same temperature.
The problem is this: even assuming the big bang timescale, there has not been enough time for light to travel between widely separated regions of space. So, how can the different regions of the current CMB have such precisely uniform temperatures if they have never communicated with each other?9 This is a light-travel–time problem.10
The big bang model assumes that the universe is many billions of years old. While this timescale is sufficient for light to travel from distant galaxies to earth, it does not provide enough time for light to travel from one side of the visible universe to the other."