Judge is behind pilgrimage to Knock in the local sense (9)
I believe the answer is:
criticise
'knock in the local sense' is the definition.
'criticise' can be an answer for 'knock' (I've seen this before). I am not sure about the 'in the local sense' bit.
'judge is behind pilgrimage' is the wordplay.
'judge' becomes 'critic' (critic is a kind of judge).
'behind pilgrimage' becomes 'e' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'critic'+'is'+'e'='CRITICISE'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for criticise that I've seen before include "Point out problems or mistakes" , "knock" , "Find fault" .)