child prodigy vs kid

child prodigy and kid both are nouns.

Word	Noun	Adjective	Verb	Adverb
child prodigy	Yes	No	No	No
kid	Yes	No	Yes	No

As nouns, kid is a hypernym of child prodigy; that is, kid is a word with a broader meaning than child prodigy:

Other hypernyms of child prodigy include child, fry, minor, nestling, nipper, shaver, small fry, tiddler, tike, tyke, youngster, prodigy.

child prodigy (noun)	kid (noun)
a prodigy whose talents are recognized at an early age	young goat
	a young person of either sex
	a human offspring (son or daughter) of any age
	soft smooth leather from the hide of a young goat

child prodigy (verb)	kid (verb)
	be silly or tease one another
	tell false information to for fun