persimmon vs fruit tree

persimmon and fruit tree both are nouns.

Word	Noun	Adjective	Verb	Adverb
persimmon	Yes	No	No	No
fruit tree	Yes	No	No	No

As nouns, fruit tree is a hypernym of persimmon; that is, fruit tree is a word with a broader meaning than persimmon:

persimmon (noun)	fruit tree (noun)
orange fruit resembling a plum; edible when fully ripe	tree bearing edible fruit
any of several tropical trees of the genus Diospyros