Also, you could live away from the cat
for a day or two and see if your
symptoms improve. However, it would be best to consult a doctor who can examine you.
If you want to keep the cat, you could restrict the entry into the bedroom, wipe the cat daily with a wet towel, and give bath twice a week, use a HEPA-equipped vacuum cleaner at least twice a week, regularly launder or dry clean all upholstery and bedding.