badger dog vs hunting dog

badger dog and hunting dog both are nouns.

Word	Noun	Adjective	Verb	Adverb
badger dog	Yes	No	No	No
hunting dog	Yes	No	No	No

As nouns, hunting dog is a hypernym of badger dog; that is, hunting dog is a word with a broader meaning than badger dog:

badger dog: small long-bodied short-legged German breed of dog having a short sleek coat and long drooping ears; suited for following game into burrows
hunting dog: a dog used in hunting game

badger dog (noun)	hunting dog (noun)
small long-bodied short-legged German breed of dog having a short sleek coat and long drooping ears; suited for following game into burrows	a dog used in hunting game