spokeswoman vs spokesperson

spokeswoman and spokesperson both are nouns.

Word	Noun	Adjective	Verb	Adverb
spokeswoman	Yes	No	No	No
spokesperson	Yes	No	No	No

As nouns, spokesperson is a hypernym of spokeswoman; that is, spokesperson is a word with a broader meaning than spokeswoman:

Other hypernyms of spokeswoman include interpreter, representative, voice, adult female, woman.

spokeswoman (noun)	spokesperson (noun)
a female spokesperson	an advocate who represents someone else's policy or purpose