flesh wound vs combat injury

flesh wound and combat injury both are nouns.

Word	Noun	Adjective	Verb	Adverb
flesh wound	Yes	No	No	No
combat injury	Yes	No	No	No

As nouns, combat injury is a hypernym of flesh wound; that is, combat injury is a word with a broader meaning than flesh wound:

flesh wound: a wound that does not damage important internal organs or shatter any bones
combat injury: a casualty to military personnel resulting from combat

Other hypernyms of flesh wound include injury, wound.

flesh wound (noun)	combat injury (noun)
a wound that does not damage important internal organs or shatter any bones	a casualty to military personnel resulting from combat