idol worshiper vs idolater

idol worshiper and idolater both are nouns.

Word	Noun	Adjective	Verb	Adverb
idol worshiper	Yes	No	No	No
idolater	Yes	No	No	No

As nouns, idol worshiper and idolater are synonyms defined as:

Other synonyms of idol worshiper include idoliser, idolizer.

idol worshiper (noun)	idolater (noun)
a person who worships idols	a person who worships idols