director vs theater director

director and theater director both are nouns.

Word	Noun	Adjective	Verb	Adverb
director	Yes	No	No	No
theater director	Yes	No	No	No

As nouns, director and theater director are synonyms defined as:

director and theater director: someone who supervises the actors and directs the action in the production of a show

Other synonyms of director include theatre director.

director (noun)	theater director (noun)
someone who controls resources and expenditures	someone who supervises the actors and directs the action in the production of a show
the person who leads a musical group
someone who supervises the actors and directs the action in the production of a show
member of a board of directors
the person who directs the making of a film