Pet __ (5)
(Other definitions for peeve that I've seen before include "Annoy, get at, irritate" , "upset" , "Intensely annoy" , "Get annoyed" , "Cause resentment" .)
'pet' is the definition.
(both can mean to touch lovingly)
This is all the clue.
(Other definitions for canoodle that I've seen before include "Smooch" , "Fondle" , "Hug and kiss" , "neck" , "Behave amorously" .)