Frenchwoman vs adult female

Frenchwoman and adult female both are nouns.

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

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

Other hypernyms of Frenchwoman include French person, woman.

Frenchwoman (noun)	adult female (noun)
a female person of French nationality	an adult female person (as opposed to a man)