brocket vs red deer

brocket and red deer both are nouns.

Word	Noun	Adjective	Verb	Adverb
brocket	Yes	No	No	No
red deer	Yes	No	No	No

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

Other hypernyms of brocket include American elk, Cervus elaphus, elk, wapiti.

brocket (noun)	red deer (noun)
small South American deer with unbranched antlers	common deer of temperate Europe and Asia
male red deer in its second year