short-tempered vs hot-tempered

short-tempered and hot-tempered both are adjectives.

Word	Noun	Adjective	Verb	Adverb
short-tempered	No	Yes	No	No
hot-tempered	No	Yes	No	No

As adjectives, short-tempered and hot-tempered are synonyms defined as:

Other synonyms of short-tempered include choleric, hotheaded, irascible, quick-tempered.

short-tempered (adjective)	hot-tempered (adjective)
quickly aroused to anger	quickly aroused to anger