chile vs cayenne pepper

chile and cayenne pepper both are nouns.

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

As nouns, cayenne pepper is a hyponym of chile; that is, cayenne pepper is a word with a more specific, narrower meaning than chile:

Other hyponyms of chile include jalapeno, jalapeno pepper, cayenne.

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