married man vs adult male

married man and adult male both are nouns.

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

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

Other hypernyms of married man include man, better half, married person, mate, partner, spouse.

married man (noun)	adult male (noun)
a married man; a woman's partner in marriage	an adult person who is male (as opposed to a woman)