palmist vs fortune teller

palmist and fortune teller both are nouns.

Word	Noun	Adjective	Verb	Adverb
palmist	Yes	No	No	No
fortune teller	Yes	No	No	No

As nouns, fortune teller is a hypernym of palmist; that is, fortune teller is a word with a broader meaning than palmist:

Other hypernyms of palmist include fortuneteller.

palmist (noun)	fortune teller (noun)
fortuneteller who predicts your future by the lines on your palms	a person who foretells your personal future