cheek vs discourtesy

cheek and discourtesy both are nouns.

Word	Noun	Adjective	Verb	Adverb
cheek	Yes	No	Yes	No
discourtesy	Yes	No	No	No

As nouns, discourtesy is a hypernym of cheek; that is, discourtesy is a word with a broader meaning than cheek:

Other hypernyms of cheek include disrespect.

cheek (noun)	discourtesy (noun)
impudent aggressiveness	a lack of politeness; a failure to show regard for others; wounding the feelings of others
either side of the face below the eyes	a manner that is rude and insulting
either of the two large fleshy masses of muscular tissue that form the human rump	an expression of lack of respect
an impudent statement

cheek (verb)	discourtesy (verb)
speak impudently to