I can imagine your pain. In my case it was allergy to duck protein. A friend gave me a dozen duck eggs. The first two were delicious but caused digestive pain like you described. The irony is I adopted some homeless ducks and now raise and sell Muscovy because other people need them.
I have heard that some people have trouble with duck eggs. I feel less like a freak now.

I have a neighbor that had never tried duck eggs before. Now he requests them. Those and my pretty green chicken eggs.
This years fall chicks should all lay brown and white eggs.