W.C. vs privy

W.C. and privy both are nouns.

Word	Noun	Adjective	Verb	Adverb
W.C.	Yes	No	No	No
privy	Yes	Yes	No	No

As nouns, privy is a hypernym of W.C.; that is, privy is a word with a broader meaning than W.C.:

Other hypernyms of W.C. include bathroom, can, john, lav, lavatory, toilet.

W.C. (noun)	privy (noun)
a toilet in Britain	a small outbuilding with a bench having holes through which a user can defecate
	a room or building equipped with one or more toilets

W.C. (adjective)	privy (adjective)
	(followed by `to') informed about something secret or not generally known
	hidden from general view or use