well-wisher vs admirer

well-wisher and admirer both are nouns.

Word	Noun	Adjective	Verb	Adverb
well-wisher	Yes	No	No	No
admirer	Yes	No	No	No

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

well-wisher: someone who shares your feelings or opinions and hopes that you will be successful
admirer: a person who backs a politician or a team etc.

Other hypernyms of well-wisher include booster, champion, friend, protagonist, supporter.

well-wisher (noun)	admirer (noun)
someone who shares your feelings or opinions and hopes that you will be successful	someone who admires a young woman
	a person who backs a politician or a team etc.
	a person who admires; someone who esteems or respects or approves