housefather vs adult male

housefather and adult male both are nouns.

Word	Noun	Adjective	Verb	Adverb
housefather	Yes	No	No	No
adult male	Yes	No	No	No

As nouns, adult male is a hypernym of housefather; that is, adult male is a word with a broader meaning than housefather:

Other hypernyms of housefather include man.

housefather (noun)	adult male (noun)
a man in charge of children in an institution	an adult person who is male (as opposed to a woman)