countrywoman vs adult female

countrywoman and adult female both are nouns.

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

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

Other hypernyms of countrywoman include compatriot, woman.

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

Other hypernyms of countrywoman include rustic, woman.

countrywoman (noun)	adult female (noun)
a woman from your own country	an adult female person (as opposed to a man)
a woman who lives in the country and has country ways