mommy vs female parent

mommy and female parent both are nouns.

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

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

mommy: informal terms for a mother
female parent: a woman who has given birth to a child (also used as a term of address to your mother)

Other hypernyms of mommy include mother.

mommy (noun)	female parent (noun)
informal terms for a mother	a woman who has given birth to a child (also used as a term of address to your mother)