counterwoman vs woman

counterwoman and woman both are nouns.

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

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

Other hypernyms of counterwoman include counterperson, adult female.

counterwoman (noun)	woman (noun)
a female who attends a counter (as in a diner)	women as a class
	an adult female person (as opposed to a man)
	a female person who plays a significant role (wife or mistress or girlfriend) in the life of a particular man