admirer vs wooer

admirer and wooer both are nouns.

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

As nouns, wooer is a hyponym of admirer; that is, wooer is a word with a more specific, narrower meaning than admirer:

Other hyponyms of admirer include enthusiast, fancier, suer, suitor, worshiper, worshipper.

admirer (noun)	wooer (noun)
someone who admires a young woman	a man who courts a woman
a person who backs a politician or a team etc.
a person who admires; someone who esteems or respects or approves