desperate criminal vs outlaw

desperate criminal and outlaw both are nouns.

Word	Noun	Adjective	Verb	Adverb
desperate criminal	Yes	No	No	No
outlaw	Yes	Yes	Yes	No

As nouns, outlaw is a hypernym of desperate criminal; that is, outlaw is a word with a broader meaning than desperate criminal:

desperate criminal: a bold outlaw (especially on the American frontier)
outlaw: someone who has committed a crime or has been legally convicted of a crime

Other hypernyms of desperate criminal include criminal, crook, felon, malefactor.

desperate criminal (noun)	outlaw (noun)
a bold outlaw (especially on the American frontier)	someone who has committed a crime or has been legally convicted of a crime

desperate criminal (adjective)	outlaw (adjective)
	contrary to or forbidden by law
	disobedient to or defiant of law

desperate criminal (verb)	outlaw (verb)
	declare illegal; outlaw