mater vs female parent

mater and female parent both are nouns.

Word	Noun	Adjective	Verb	Adverb
mater	Yes	No	No	No
female parent	Yes	No	No	No

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

mater: an informal use of the Latin word for mother; sometimes used by British schoolboys or used facetiously
female parent: a woman who has given birth to a child (also used as a term of address to your mother)

Other hypernyms of mater include mother.

mater (noun)	female parent (noun)
an informal use of the Latin word for mother; sometimes used by British schoolboys or used facetiously	a woman who has given birth to a child (also used as a term of address to your mother)