telephone message vs message

telephone message and message both are nouns.

Word	Noun	Adjective	Verb	Adverb
telephone message	Yes	No	No	No
message	Yes	No	Yes	No

As nouns, message is a hypernym of telephone message; that is, message is a word with a broader meaning than telephone message:

telephone message: a message transmitted by telephone
message: a communication (usually brief) that is written or spoken or signaled

telephone message (noun)	message (noun)
a message transmitted by telephone	content communicating a message; what something is about
	a communication (usually brief) that is written or spoken or signaled