city manager vs politician

city manager and politician both are nouns.

Word	Noun	Adjective	Verb	Adverb
city manager	Yes	No	No	No
politician	Yes	No	No	No

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

Other hypernyms of city manager include civil authority, civil officer.

city manager (noun)	politician (noun)
the head of a city government	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