chief vs adult male

chief and adult male both are nouns.

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

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

Other hypernyms of chief include man, supervisor.

chief (noun)	adult male (noun)
a person who is in charge	an adult person who is male (as opposed to a woman)
a person who exercises control over workers
the head of a tribe or clan

chief (adjective)	adult male (adjective)
most important element