Traitor briefly in charge of religion (6)

I believe the answer is:

judaic

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'traitor briefly in charge of religion' is the definition.
I can't judge whether this definition defines the answer.

'traitor briefly in charge of' is the wordplay.
'traitor' becomes 'Judas' (Judas is an example).
'briefly' means to remove the last letter.
'in charge of' becomes 'ic'.
'judas' with its final letter taken away is 'juda'.
'juda'+'ic'='JUDAIC'

Can you help me to learn more?

(Another definition for judaic that I've seen is " Of or relating to Jews or their culture or religion".)

I've seen this clue in The Times.

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