counterman vs adult female

counterman and adult female both are nouns.

Word	Noun	Adjective	Verb	Adverb
counterman	Yes	No	No	No
adult female	Yes	No	No	No

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

Other hypernyms of counterman include counterperson, woman.

counterman (noun)	adult female (noun)
a male who attends a counter (as in a diner)	an adult female person (as opposed to a man)