film director vs filmmaker

film director and filmmaker both are nouns.

Word	Noun	Adjective	Verb	Adverb
film director	Yes	No	No	No
filmmaker	Yes	No	No	No

As nouns, filmmaker is a hypernym of film director; that is, filmmaker is a word with a broader meaning than film director:

Other hypernyms of film director include film maker, film producer, movie maker.

film director (noun)	filmmaker (noun)
the person who directs the making of a film	a producer of motion pictures