palmister vs fortune teller

palmister and fortune teller both are nouns.

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

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

palmister: fortuneteller who predicts your future by the lines on your palms
fortune teller: a person who foretells your personal future

Other hypernyms of palmister include fortuneteller.

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