Can you be allergic to different animal milks?

im not allergic to cows milk, like i was until i was 5. my mom had to give me infant formula, till i was like 3, to get what i needed from it. and then she just gave me koolaid or water or whatever. ne way, i was at votech this morning, and in my childcare cl, we had a little party, and there was goatcheese, i decided to try it, and it was good, but now after abut 2 hours, i feel like im going to throw up. is there something wrong. other than that, i kno im not like sick, with the flu or whatever, bc im hyper other