you were doing a really good job getting yourself to care for him though. and your boyfriend has absolutely no right to be angry at you for getting upset. he knows you have difficulty with that sort of thing and he should just be grateful that you tried to help at all. and anyway, he shouldnt expect you to have this obligation to care for him when he's sick. yes, that is generally what couples do, but in your situation he should accept that that sometimes won't happen.
if i were in your shoes i would confine myself to the couch for a few nights to prevent any exposure to him while sleeping, but i feel like if you want to get better at handling emet you should try staying with him.