police matron vs adult female

police matron and adult female both are nouns.

Word	Noun	Adjective	Verb	Adverb
police matron	Yes	No	No	No
adult female	Yes	No	No	No

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

Other hypernyms of police matron include officer, police officer, woman.

police matron (noun)	adult female (noun)
a woman policeman	an adult female person (as opposed to a man)