Many thanks to all who took the time to reply to my question. I will take the advice of a good number of you and talk to a doctor to rule out a possible medical condition before consulting with a surgeon. Thank you again.
I don't see a way to edit my original question, so I'm leaving additional info here in case it matters: In the photo, I'm actually smiling (to illustrate the asymmetry of my eyes, which is less visible when I am not smiling).
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Posted to Does Eye Asymmetry Become More Pronounced As We Age? (photo) on 12 Nov 2012
Posted to Does Eye Asymmetry Become More Pronounced As We Age? (photo) on 3 Nov 2012