dishonour vs turn down

dishonour is a noun but turn down is not a noun.

Word	Noun	Adjective	Verb	Adverb
dishonour	Yes	No	Yes	No
turn down	No	No	Yes	No

As verbs, turn down is a hypernym of dishonour; that is, turn down is a word with a broader meaning than dishonour:

Other hypernyms of dishonour include decline, pass up, refuse, reject.

dishonour (noun)	turn down (noun)
lacking honor or integrity
a state of shame or disgrace

dishonour (verb)	turn down (verb)
refuse to accept	make lower or quieter
bring shame or dishonor upon	take a downward direction
force (someone) to have sex against their will	reject with contempt
	not accept as true
	refuse entrance or membership