white man vs White person

white man and White person both are nouns.

Word	Noun	Adjective	Verb	Adverb
white man	Yes	No	No	No
White person	Yes	No	No	No

As nouns, White person is a hypernym of white man; that is, White person is a word with a broader meaning than white man:

white man: a man who is White
White person: a person of European descent with a light-skinned or pale complexion

Other hypernyms of white man include Caucasian, White, adult male, man.

white man (noun)	White person (noun)
a man who is White	a person of European descent with a light-skinned or pale complexion