breadwinner vs wage earner

breadwinner and wage earner both are nouns.

Word	Noun	Adjective	Verb	Adverb
breadwinner	Yes	No	No	No
wage earner	Yes	No	No	No

As nouns, wage earner is a hypernym of breadwinner; that is, wage earner is a word with a broader meaning than breadwinner:

breadwinner: one whose earnings are the primary source of support for their dependents
wage earner: someone who earn wages in return for their labor

Other hypernyms of breadwinner include earner.

breadwinner (noun)	wage earner (noun)
one whose earnings are the primary source of support for their dependents	someone who earn wages in return for their labor