As an omnivore, I think your friend is full of it! Her offhand and ignorant comment has you agonizing. If you weren't bothered by eggs before, why be bothered now?
I wish I had a tape of the hilarious conversation around the table the other night as we were eating with a 'vegetarian' who also eats seafood, plus meat from random animals she considers unpetworthy (such as wild boar, which was on the menu). She was explaining at length how dogs and pigs are interchangeable, and I said I sure would be surprised to find a pig curled up in my bed
Sometimes you just can't pay too much attention to people who don't make that much sense.
I would just ask yourself, does an egg feel like something that's good for me to eat? And then listen to how you feel.