supporter vs admirer

supporter and admirer both are nouns.

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

As nouns, supporter and admirer are synonyms defined as:

Other synonyms of supporter include booster, champion, friend, protagonist.

supporter (noun)	admirer (noun)
a band (usually elastic) worn around the leg to hold up a stocking (or around the arm to hold up a sleeve)	someone who admires a young woman
a support for the genitals worn by men engaging in strenuous exercise	a person who backs a politician or a team etc.
a person who backs a politician or a team etc.	a person who admires; someone who esteems or respects or approves
a person who contributes to the fulfillment of a need or furtherance of an effort or purpose
someone who supports or champions something