stick out vs countenance

stick out is not a noun while countenance is a noun.

Word	Noun	Adjective	Verb	Adverb
stick out	No	No	Yes	No
countenance	Yes	No	Yes	No

As verbs, countenance is a hypernym of stick out; that is, countenance is a word with a broader meaning than stick out:

Other hypernyms of stick out include allow, let, permit.

stick out (noun)	countenance (noun)
	the appearance conveyed by a person's face
	the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)
	formal and explicit approval

stick out (verb)	countenance (verb)
put up with something or somebody unpleasant	consent to, give permission; permit
extend out or project in space
be highly noticeable