Why Aren't Galaxies Skewed Despite Vast Distances in Light Travel?

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Astroboy
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If the light viewed through a telescope from one end of a specific galaxy takes, say, 100,000 years longer to travel to the eyepiece than the light at the closer end of the said galaxy, why isn't it skewed? Same goes with everything in the cosmos, why isn't more skewed the further back we look?

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A galaxy doesn't move very far in only 100,000 years.
 
To be a little more precise: an average galaxy has a dynamical time (the time scale on which it rotates, moves, changes appearance, etc.) of about 200 million years, so a bout a 1000 times longer than the light crossing time for the same object.