den mother vs supervisor

den mother and supervisor both are nouns.

Word	Noun	Adjective	Verb	Adverb
den mother	Yes	No	No	No
supervisor	Yes	No	No	No

As nouns, supervisor is a hypernym of den mother; that is, supervisor is a word with a broader meaning than den mother:

den mother (noun)	supervisor (noun)
a woman who supervises a den of Cub Scouts	a program that controls the execution of other programs
someone who plays the role of a den mother	one who supervises or has charge and direction of