pere david's deer vs deer

pere david's deer and deer both are nouns.

Word	Noun	Adjective	Verb	Adverb
pere david's deer	Yes	No	No	No
deer	Yes	No	No	No

As nouns, deer is a hypernym of pere david's deer; that is, deer is a word with a broader meaning than pere david's deer:

pere david's deer: large Chinese deer surviving only in domesticated herds
deer: distinguished from Bovidae by the male's having solid deciduous antlers

Other hypernyms of pere david's deer include cervid.

pere david's deer (noun)	deer (noun)
large Chinese deer surviving only in domesticated herds	distinguished from Bovidae by the male's having solid deciduous antlers