divorced man vs adult male

divorced man and adult male both are nouns.

Word	Noun	Adjective	Verb	Adverb
divorced man	Yes	No	No	No
adult male	Yes	No	No	No

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

Other hypernyms of divorced man include man.

divorced man (noun)	adult male (noun)
a man who is divorced from (or separated from) his wife	an adult person who is male (as opposed to a woman)