hazelnut vs edible nut

hazelnut and edible nut both are nouns.

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

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

hazelnut: nut of any of several trees of the genus Corylus
edible nut: a hard-shelled seed consisting of an edible kernel or meat enclosed in a woody or leathery shell

hazelnut (noun)	edible nut (noun)
nut of any of several trees of the genus Corylus	a hard-shelled seed consisting of an edible kernel or meat enclosed in a woody or leathery shell
any of several shrubs or small trees of the genus Corylus bearing edible nuts enclosed in a leafy husk