deer hunting vs hunting

deer hunting and hunting both are nouns.

Word	Noun	Adjective	Verb	Adverb
deer hunting	Yes	No	No	No
hunting	Yes	No	No	No

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

deer hunting: hunting deer
hunting: the pursuit and killing or capture of wild animals regarded as a sport

Other hypernyms of deer hunting include hunt.

deer hunting (noun)	hunting (noun)
hunting deer	the work of finding and killing or capturing animals for food or pelts
	the pursuit and killing or capture of wild animals regarded as a sport
	the activity of looking thoroughly in order to find something or someone