bad temper vs choler

bad temper and choler both are nouns.

Word	Noun	Adjective	Verb	Adverb
bad temper	Yes	No	No	No
choler	Yes	No	No	No

As nouns, choler is a hypernym of bad temper; that is, choler is a word with a broader meaning than bad temper:

bad temper: a persisting angry mood
choler: a strong emotion; a feeling that is oriented toward some real or supposed grievance

Other hypernyms of bad temper include anger, ire.

bad temper (noun)	choler (noun)
a persisting angry mood	a humor that was once believed to be secreted by the liver and to cause irritability and anger
	a strong emotion; a feeling that is oriented toward some real or supposed grievance
	an irritable petulant feeling