hesitate vs delay

hesitate is not a noun while delay is a noun.

Word	Noun	Adjective	Verb	Adverb
hesitate	No	No	Yes	No
delay	Yes	No	Yes	No

As verbs, delay is a hypernym of hesitate; that is, delay is a word with a broader meaning than hesitate:

hesitate (noun)	delay (noun)
	the act of delaying; inactivity resulting in something being put off until a later time
	time during which some action is awaited

hesitate (verb)	delay (verb)
pause or hold back in uncertainty or unwillingness	cause to be slowed down or delayed
interrupt temporarily an activity before continuing	stop or halt
	slow the growth or development of
	act later than planned, scheduled, or required