film maker vs film producer

film maker and film producer both are nouns.

Word	Noun	Adjective	Verb	Adverb
film maker	Yes	No	No	No
film producer	Yes	No	No	No

As nouns, film maker and film producer are synonyms defined as:

Other synonyms of film maker include filmmaker, movie maker.

film maker (noun)	film producer (noun)
a producer of motion pictures	a producer of motion pictures