I’ve never heard the singular “egg” used in the way you’re using it.
I’d expect your question and details to say, “Does anyone else feel sick after eating eggs? I like eggs.”
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Anyway, is the problem that you very much enjoy the taste of eggs, but you feel sick after you eat them? So you would like to continue eating them, but you dislike feeling sick? So you would like to know why you feel sick to see if there is some part of eating the eggs that you can modify to prevent the sickness?
Additionally, as rockstargrrrlie has pointed out, if you’re asking the internet something, chances are that someone else does feel the way you do. If someone else does get sick after eating eggs, how does that help you? Perhaps, in the future, you should restructure your questions in a way that will produce answers that are helpful to you, i.e., “Why would the consumption of eggs make one feel sick?” or, “What are the options when you enjoy eating a food that makes you feel sick?”