deer hunt vs hunting

deer hunt and hunting both are nouns.

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

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

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

Other hypernyms of deer hunt include hunt.

deer hunt (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