insult vs disrespect

insult and disrespect both are nouns.

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

As nouns, disrespect is a hypernym of insult; that is, disrespect is a word with a broader meaning than insult:

Other hypernyms of insult include discourtesy.

insult (noun)	disrespect (noun)
a deliberately offensive act or something producing the effect of deliberate disrespect	a manner that is generally disrespectful and contemptuous
a rude expression intended to offend or hurt	a disrespectful mental attitude
	an expression of lack of respect

insult (verb)	disrespect (verb)
treat, mention, or speak to rudely	have little or no respect for; hold in contempt
	show a lack of respect for