eminence vs distinction

eminence and distinction both are nouns.

Word	Noun	Adjective	Verb	Adverb
eminence	Yes	No	No	No
distinction	Yes	No	No	No

As nouns, eminence and distinction are synonyms defined as:

eminence and distinction: high status importance owing to marked superiority

Other synonyms of eminence include note, preeminence.

eminence (noun)	distinction (noun)
a protuberance on a bone especially for attachment of a muscle or ligament	a distinguishing difference between similar things or people
high status importance owing to marked superiority	a discrimination between things as different and distinct on the basis of their characteristics or attributes
	an honor awarded to someone in recognition of achievement or superiority
	high status importance owing to marked superiority