From what I understand, it is the cat dander and saliva that ppl are allergic to. There are lots of products that you can treat your cat w/ to reduce/ eliminate the dander, etc.
Here are some I just found:
http://www.drsfostersmith.com/produc...&N=2002+113500
http://www.drsfostersmith.com/produc...&N=2002+113500
http://www.drsfostersmith.com/produc...&N=2002+113500
http://www.drsfostersmith.com/produc...&N=2002+113500
It may be worth a try.
Good luck finding a good home for your kitty if you need to.