malevolence vs hate

malevolence and hate both are nouns.

Word	Noun	Adjective	Verb	Adverb
malevolence	Yes	No	No	No
hate	Yes	No	Yes	No

As nouns, hate is a hypernym of malevolence; that is, hate is a word with a broader meaning than malevolence:

malevolence: wishing evil to others
hate: the emotion of intense dislike; a feeling of dislike so strong that it demands action

Other hypernyms of malevolence include hatred.

malevolence (noun)	hate (noun)
the quality of threatening evil	the emotion of intense dislike; a feeling of dislike so strong that it demands action
wishing evil to others

malevolence (verb)	hate (verb)
	to have and express negative sentiments about a person
	dislike intensely; feel antipathy or aversion towards