Hi thanks for your question
your 82 year old mother, with multiple problems, is taking tylenol for arthritis
and gets breathing problems, sweats and sever chills.Tylenol is acetaminophen
which belongs to a class of drugs called analgesic
( pain reliever) and antipyretics(fever reducer)
Hives, difficulty in breathing, tightening of chest, rash and sore throat
are its common side effects.
So what your mother is experiencing is side effect of Tylenol.
Consult your doctor again and report him the problem your mother is having with medicine, he may change the medicine.