Welcome in H.C.M.
I have gone through your query regarding your throat problem and after co-relating your symptoms with possible pathology it appears that basically you were having allergic tonsillopharyngitis with super added infection.
As you have asked about allergy
to odor of cat & molds, it is true and well documented.
In your case there is possibility of allergy to cat and mold odor which had got infected by bacteria may be staph.