legislator vs politician

legislator and politician both are nouns.

Word	Noun	Adjective	Verb	Adverb
legislator	Yes	No	No	No
politician	Yes	No	No	No

As nouns, politician is a hypernym of legislator; that is, politician is a word with a broader meaning than legislator:

Other hypernyms of legislator include lawgiver, lawmaker.

legislator (noun)	politician (noun)
someone who makes or enacts laws	a person active in party politics
	a leader engaged in civil administration
	a schemer who tries to gain advantage in an organization in sly or underhanded ways