Pete's very much inclined to get upset (5)
I believe the answer is:
steep
'upset' is the definition.
Both the answer and definition are adjectives. Perhaps there's a link between them I don't understand?
'petes very much inclined to' is the wordplay.
'petes' anagrams to 'STEEP'.
Though, I'm not sure how this is indicated.
'get' acts as a link.
Can you help me to learn more?
(Other definitions for steep that I've seen before include "Difficult" , "Marinate" , "Precipitous - exorbitant" , "Vertiginous; excessive" , "not reasonable" .)