Cathedral authority taking care of priest's assistant (6)
I believe the answer is:
deacon
'priest's assistant' is the definition.
(I've seen this before)
'cathedral authority taking care of' is the wordplay.
'cathedral authority' becomes 'dean' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'taking' is an insertion indicator.
'care of' becomes 'co' (c/o can mean 'care of' when addressing mail).
'dean' placed around 'co' is 'DEACON'.
Can you help me to learn more?
(Other definitions for deacon that I've seen before include "Church post" , "Clergyman of low rank" , "Rank of clergy" , "An ordained minister" , "Junior minister" .)