I'm sure this is like any other dog/cat allergy. You should see a doctor they can probably give you something to clear things up when you have to handle a deer.

I carry benedryl, eye drops and latex gloves in my fanny pack. For the most part I only get minor symptoms, but some deer have made me rather itchy, while others don't affect me at all. The worst time was when i was at the zoo and they had a whitetail petting zoo.....wow, it was bad, both eyes swelled shut, and I broke out in hives pretty bad.