wrestle vs battle

wrestle and battle both are nouns.

Word	Noun	Adjective	Verb	Adverb
wrestle	Yes	No	Yes	No
battle	Yes	No	Yes	No

As verbs, battle is a hypernym of wrestle; that is, battle is a word with a broader meaning than wrestle:

Other hypernyms of wrestle include combat.

wrestle (noun)	battle (noun)
the act of engaging in close hand-to-hand combat	a hostile meeting of opposing military forces in the course of a war
	an energetic attempt to achieve something
	an open clash between two opposing groups (or individuals)

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