offense vs insult

offense and insult both are nouns.

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

As nouns, insult is a hyponym of offense; that is, insult 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
insult: a deliberately offensive act or something producing the effect of deliberate disrespect

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

offense (noun)	insult (noun)
the action of attacking an enemy	a deliberately offensive act or something producing the effect of deliberate disrespect
a transgression that constitutes a violation of what is judged to be right	a rude expression intended to offend or hurt
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

offense (verb)	insult (verb)
	treat, mention, or speak to rudely