matriarch vs adult female

matriarch and adult female both are nouns.

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

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

Other hypernyms of matriarch include head of household, woman.

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

Other hypernyms of matriarch include woman.

matriarch (noun)	adult female (noun)
a female head of a family or tribe	an adult female person (as opposed to a man)
a feisty older woman with a big bosom (as drawn in cartoons)