admirer vs lover

admirer and lover both are nouns.

Word	Noun	Adjective	Verb	Adverb
admirer	Yes	No	No	No
lover	Yes	No	No	No

As nouns, lover is a hypernym of admirer; that is, lover is a word with a broader meaning than admirer:

admirer (noun)	lover (noun)
someone who admires a young woman	a person who loves someone or is loved by someone
a person who backs a politician or a team etc.	an ardent follower and admirer
a person who admires; someone who esteems or respects or approves	a significant other to whom you are not related by marriage