Well, I love eggs (a dozen or so a day for the last few years), but I do put various things in there that might help.
First, if you are a believer in the AD or anything similar, you could try first cooking bacon, using the grease to cook the eggs. Next, have some pre-chopped habanero peppers, some onion, the bacon (chopped finely), mushrooms, etc. This generally masks the taste of the eggs, though with your [possible condition I don't know if it would be effective.
Why, if you hate them, are you so set on eating eggs, out of curiosity?