primipara vs female parent

primipara and female parent both are nouns.

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

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

primipara: (obstetrics) woman who has been delivered of a child for the first time
female parent: a woman who has given birth to a child (also used as a term of address to your mother)

Other hypernyms of primipara include mother.

primipara (noun)	female parent (noun)
(obstetrics) woman who has been delivered of a child for the first time	a woman who has given birth to a child (also used as a term of address to your mother)