miracle worker vs miracle man

miracle worker and miracle man both are nouns.

Word	Noun	Adjective	Verb	Adverb
miracle worker	Yes	No	No	No
miracle man	Yes	No	No	No

As nouns, miracle worker and miracle man are synonyms defined as:

miracle worker and miracle man: a person who claims or is alleged to perform miracles

miracle worker (noun)	miracle man (noun)
a person who claims or is alleged to perform miracles	a person who claims or is alleged to perform miracles