insolence vs discourtesy

insolence and discourtesy both are nouns.

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

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

insolence: an offensive disrespectful impudent act
discourtesy: a lack of politeness; a failure to show regard for others; wounding the feelings of others

Other hypernyms of insolence include offence, offense, offensive activity.

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

insolence: the trait of being rude and impertinent; inclined to take liberties
discourtesy: a manner that is rude and insulting

Other hypernyms of insolence include rudeness.

insolence (noun)	discourtesy (noun)
an offensive disrespectful impudent act	a lack of politeness; a failure to show regard for others; wounding the feelings of others
the trait of being rude and impertinent; inclined to take liberties	a manner that is rude and insulting
	an expression of lack of respect