intent vs cross-purpose

intent and cross-purpose both are nouns.

Word	Noun	Adjective	Verb	Adverb
intent	Yes	Yes	No	No
cross-purpose	Yes	No	No	No

As nouns, cross-purpose is a hyponym of intent; that is, cross-purpose is a word with a more specific, narrower meaning than intent:

intent: an anticipated outcome that is intended or that guides your planned actions
cross-purpose: a contrary aim

Other hyponyms of intent include idea, mind, final cause, sake, view, will.

intent (noun)	cross-purpose (noun)
an anticipated outcome that is intended or that guides your planned actions	a contrary aim
the intended meaning of a communication

intent (adjective)	cross-purpose (adjective)
giving or marked by complete attention to