district manager vs director

district manager and director both are nouns.

Word	Noun	Adjective	Verb	Adverb
district manager	Yes	No	No	No
director	Yes	No	No	No

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

district manager: a manager who supervises the sales activity for a district
director: someone who controls resources and expenditures

Other hypernyms of district manager include manager, managing director.

district manager (noun)	director (noun)
a manager who supervises the sales activity for a district	someone who controls resources and expenditures
	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