hater vs Jew-baiter

hater and Jew-baiter both are nouns.

Word	Noun	Adjective	Verb	Adverb
hater	Yes	No	No	No
Jew-baiter	Yes	No	No	No

As nouns, Jew-baiter is a hyponym of hater; that is, Jew-baiter is a word with a more specific, narrower meaning than hater:

Other hyponyms of hater include abominator, loather, anglophobe, anti-Semite, Francophobe.

hater (noun)	Jew-baiter (noun)
a person who hates	someone who hates and would persecute Jews