This also happens to me. I love cold iced tea but when I drink it, I become nauseated. The answer is the acidity in the tea. It upsets our stomach. The way to fix this is pretty simple actually, you can either take a couple tums or some other type stomach medication for acid. The other fix is to eat something before you have the tea. I find that eating something bland seems to work best.
Sorry we have this problem! Seems pretty rare though, so I guess we are lucky!
Hope it helps you out.
Jonathan