bad temper vs ire

bad temper and ire both are nouns.

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

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

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

Other hypernyms of bad temper include anger, choler.

bad temper (noun)	ire (noun)
a persisting angry mood	belligerence aroused by a real or supposed wrong (personified as one of the deadly sins)
	a strong emotion; a feeling that is oriented toward some real or supposed grievance