wrestling vs contact sport

wrestling and contact sport both are nouns.

Word	Noun	Adjective	Verb	Adverb
wrestling	Yes	No	No	No
contact sport	Yes	No	No	No

As nouns, contact sport is a hypernym of wrestling; that is, contact sport is a word with a broader meaning than wrestling:

wrestling: the sport of hand-to-hand struggle between unarmed contestants who try to throw each other down
contact sport: a sport that necessarily involves body contact between opposing players

wrestling (noun)	contact sport (noun)
the sport of hand-to-hand struggle between unarmed contestants who try to throw each other down	a sport that necessarily involves body contact between opposing players
the act of engaging in close hand-to-hand combat