offense vs insolence

offense and insolence both are nouns.

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

As nouns, insolence is a hyponym of offense; that is, insolence is a word with a more specific, narrower meaning than offense:

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

Other hyponyms of offense include derision, ridicule, indelicacy, affront, insult, presumption, rebuff, slight.

offense (noun)	insolence (noun)
the action of attacking an enemy	an offensive disrespectful impudent act
a transgression that constitutes a violation of what is judged to be right	the trait of being rude and impertinent; inclined to take liberties
a lack of politeness; a failure to show regard for others; wounding the feelings of others
a feeling of anger caused by being offended
the team that has the ball (or puck) and is trying to score