cayenne pepper vs chile

cayenne pepper and chile both are nouns.

Word	Noun	Adjective	Verb	Adverb
cayenne pepper	Yes	No	No	No
chile	Yes	No	No	No

As nouns, chile is a hypernym of cayenne pepper; that is, chile is a word with a broader meaning than cayenne pepper:

Other hypernyms of cayenne pepper include chili, chili pepper, chilli, chilly.

cayenne pepper (noun)	chile (noun)
ground pods and seeds of pungent red peppers of the genus Capsicum	very hot and finely tapering pepper of special pungency
a long and often twisted hot red pepper
plant bearing very hot and finely tapering long peppers; usually red