discomfit vs pain

discomfit is not a noun while pain is a noun.

Word	Noun	Adjective	Verb	Adverb
discomfit	No	No	Yes	No
pain	Yes	No	Yes	No

As verbs, pain is a hyponym of discomfit; that is, pain is a word with a more specific, narrower meaning than discomfit:

discomfit (noun)	pain (noun)
	a somatic sensation of acute discomfort
	something or someone that causes trouble; a source of unhappiness
	emotional distress; a fundamental feeling that people try to avoid
	a symptom of some physical hurt or disorder

discomfit (verb)	pain (verb)
cause to lose one's composure	cause bodily suffering to and make sick or indisposed
	cause emotional anguish or make miserable