medicine vs care for

medicine is a noun but care for is not a noun.

Word	Noun	Adjective	Verb	Adverb
medicine	Yes	No	Yes	No
care for	No	No	Yes	No

As verbs, care for is a hypernym of medicine; that is, care for is a word with a broader meaning than medicine:

Other hypernyms of medicine include treat.

medicine (noun)	care for (noun)
the learned profession that is mastered by graduate training in a medical school and that is devoted to preventing or alleviating or curing diseases and injuries
punishment for one's actions
(medicine) something that treats or prevents or alleviates the symptoms of disease
the branches of medical science that deal with nonsurgical techniques

medicine (verb)	care for (verb)
treat medicinally, treat with medicine	provide treatment for
	have a liking, fondness, or taste (for)
	be fond of; be attached to