hurt vs agonize

hurt is a noun but agonize is not a noun.

Word	Noun	Adjective	Verb	Adverb
hurt	Yes	Yes	Yes	No
agonize	No	No	Yes	No

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

Other hyponyms of hurt include break someone's heart, agonise, try, excruciate, rack, torment, torture.

hurt (noun)	agonize (noun)
the act of damaging something or someone
a damage or loss
feelings of mental or physical pain
psychological suffering
any physical damage to the body caused by violence or accident or fracture etc.; the condition of an injury

hurt (adjective)	agonize (adjective)
damaged; used of inanimate objects or their value
suffering from physical injury especially that suffered in battle

hurt (verb)	agonize (verb)
give trouble or pain to	suffer agony or anguish
be in pain	cause to agonize
cause damage or affect negatively
hurt the feelings of
cause emotional anguish or make miserable
be the source of pain
feel physical pain