hazelnut tree vs nut tree

hazelnut tree and nut tree both are nouns.

Word	Noun	Adjective	Verb	Adverb
hazelnut tree	Yes	No	No	No
nut tree	Yes	No	No	No

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

hazelnut tree: any of several shrubs or small trees of the genus Corylus bearing edible nuts enclosed in a leafy husk
nut tree: tree bearing edible nuts

hazelnut tree (noun)	nut tree (noun)
any of several shrubs or small trees of the genus Corylus bearing edible nuts enclosed in a leafy husk	tree bearing edible nuts