field sport vs hunting

field sport and hunting both are nouns.

Word	Noun	Adjective	Verb	Adverb
field sport	Yes	No	No	No
hunting	Yes	No	No	No

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

field sport: a sport that is played outdoors
hunting: the pursuit and killing or capture of wild animals regarded as a sport

Other hyponyms of field sport include hunt, fishing, sportfishing.

field sport (noun)	hunting (noun)
a sport that is played outdoors	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