Priest very disposed to obstinacy (10)
I believe the answer is:
perversity
'obstinacy' is the definition.
(I've seen this before)
'priest very disposed' is the wordplay.
'disposed' indicates an anagram.
'priest'+'very'='priestvery'
'priestvery' anagrammed gives 'PERVERSITY'.
'to' acts as a link.
(Other definitions for perversity that I've seen before include "Wilfully contrary nature" , "Obstinacy" .)