Deprived of religious significance, diehard in sect is put out (15)

I believe the answer is:

dechristianised

'deprived of religious significance' is the definition.
(no longer Christian)

'diehard in sect is put out' is the wordplay.
'put out' indicates an anagram.
'diehard'+'in'+'sect'+'is'='diehardinsectis'
'diehardinsectis' with letters rearranged gives 'DECHRISTIANISED'.

I've seen this clue in The Times.

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