Keep the cat indoors. Your wife is probably allergic to the pollen inyour cat's coat.

You brush the cat yourself, away from your wife.

Your wife can see her doctor about injections that desensitize her to cat dander.

Good luck!!! have your wife go see a doctor and get on medication It all depends on how allergic she is. My allergies are rather uncomfortable but not dangerous. When I need to be around cats for an extended period of time, I take antihistamines for a couple or three weeks and then gradually wean myself off them, building up a resistance to being around the cats. If your wife is dangerously allergic, talk to a doctor before trying anything like that. If her allergies aren't dangerous, she may want to give it a try.

Another thing I do is brush the cats well and often. If the loose hair is ending up in the trash, it can't bother me. You can keep the cat outside, shave it, or let it have it's own room.(Our house has three bedrooms, so the cat has her own.) Take baby wipes and make her wipe it over her face. thats right, baby wipes temeperalory stops the allergic reactions. Trust me. Get rid of the cat. With allergy meds!! Unless you want your wife to be on medication that will eventually have side effects, they can't. Sorry. I've been in this situation before. Keeping the cat indoors could kill her if she has a severe allergy. Otherwise, if it is just uncomfortable, get her to take a vitamin C supplement with high dose quercetin. (I usually take 600mg quercetin if I have been anywhere that a cat has been. It usually starts to work in around 20 mins).