admirer vs worshiper

admirer and worshiper both are nouns.

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

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

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

admirer (noun)	worshiper (noun)
someone who admires a young woman	a person who has religious faith
a person who backs a politician or a team etc.	someone who admires too much to recognize faults
a person who admires; someone who esteems or respects or approves