woman vs female

woman and female both are nouns.

Word	Noun	Adjective	Verb	Adverb
woman	Yes	No	No	No
female	Yes	Yes	No	No

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

Other hypernyms of woman include adult, grownup, female person.

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

woman: a female person who plays a significant role (wife or mistress or girlfriend) in the life of a particular man
female: a person who belongs to the sex that can have babies

Other hypernyms of woman include female person.

woman (noun)	female (noun)
women as a class	an animal that produces gametes (ova) that can be fertilized by male gametes (spermatozoa)
an adult female person (as opposed to a man)	a person who belongs to the sex that can have babies
a female person who plays a significant role (wife or mistress or girlfriend) in the life of a particular man

woman (adjective)	female (adjective)
	being the sex (of plant or animal) that produces fertilizable gametes (ova) from which offspring develop
	for or pertaining to or composed of women or girls
	characteristic of or peculiar to a woman