director vs theatre director

director and theatre director both are nouns.

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

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

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

Other synonyms of director include theater director.

director (noun)	theatre 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