Wandering Jew vs Jew

Wandering Jew and Jew both are nouns.

Word	Noun	Adjective	Verb	Adverb
Wandering Jew	Yes	No	No	No
Jew	Yes	No	No	No

As nouns, Jew is a hypernym of Wandering Jew; that is, Jew is a word with a broader meaning than Wandering Jew:

Wandering Jew: a legendary Jew condemned to roam the world for mocking Jesus at the Crucifixion
Jew: a person belonging to the worldwide group claiming descent from Jacob (or converted to it) and connected by cultural or religious ties

Other hypernyms of Wandering Jew include Hebrew, Israelite.

Wandering Jew (noun)	Jew (noun)
a legendary Jew condemned to roam the world for mocking Jesus at the Crucifixion	a person belonging to the worldwide group claiming descent from Jacob (or converted to it) and connected by cultural or religious ties