nautch girl vs dancer

nautch girl and dancer both are nouns.

Word	Noun	Adjective	Verb	Adverb
nautch girl	Yes	No	No	No
dancer	Yes	No	No	No

As nouns, dancer is a hypernym of nautch girl; that is, dancer is a word with a broader meaning than nautch girl:

Other hypernyms of nautch girl include professional dancer, terpsichorean.

nautch girl (noun)	dancer (noun)
a professional dancing girl in India	a performer who dances professionally
	a person who participates in a social gathering arranged for dancing (as a ball)