short-tempered vs quick-tempered

short-tempered and quick-tempered both are adjectives.

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

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

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

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