wrestle vs mud-wrestle

wrestle is a noun but mud-wrestle is not a noun.

Word	Noun	Adjective	Verb	Adverb
wrestle	Yes	No	Yes	No
mud-wrestle	No	No	Yes	No

As verbs, mud-wrestle is a hyponym of wrestle; that is, mud-wrestle is a word with a more specific, narrower meaning than wrestle:

Other hyponyms of wrestle include mudwrestle.

wrestle (noun)	mud-wrestle (noun)
the act of engaging in close hand-to-hand combat

wrestle (verb)	mud-wrestle (verb)
engage in deep thought, consideration, or debate	wrestle in mud
combat to overcome an opposing tendency or force
engage in a wrestling match
to move in a twisting or contorted motion, (especially when struggling)