hunting vs deer hunting

hunting and deer hunting both are nouns.

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

As nouns, deer hunting is a hyponym of hunting; that is, deer hunting is a word with a more specific, narrower meaning than hunting:

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

hunting (noun)	deer hunting (noun)
the work of finding and killing or capturing animals for food or pelts	hunting deer
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