black eye vs reputation

black eye and reputation both are nouns.

Word	Noun	Adjective	Verb	Adverb
black eye	Yes	No	No	No
reputation	Yes	No	No	No

As nouns, reputation is a hypernym of black eye; that is, reputation is a word with a broader meaning than black eye:

Other hypernyms of black eye include repute.

black eye (noun)	reputation (noun)
an unfortunate happening that hinders or impedes; something that is thwarting or frustrating	the general estimation that the public has for a person
a swollen bruise caused by a blow to the eye	the state of being held in high esteem and honor
a bad reputation	notoriety for some particular characteristic