If you can try to put up with it for now, the allergy should ease over time as your body gets used to it. I used to be soo allergic to my cats, but now Iam fine as long as i wash my hands after stroking them and I dont have them in the bedroom anymore as i was having trouble breathing at night.

I was the same when we had our first dog, I was covered head to toe in a rash for weeks and my nose and throat were terrible. Try taking some antihistamines.