Stray cat relaxed there in bishop's seat (6,9)

I believe the answer is:

exeter cathedral

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'stray cat relaxed there in bishop's seat' is the definition.
I can't tell whether this defines the answer.

'stray cat relaxed there' is the wordplay.
'stray' indicates an anagram.
'cat'+'relaxed'+'there'='catrelaxedthere'
'catrelaxedthere' with letters rearranged gives 'EXETER CATHEDRAL'.

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I've seen this clue in The Telegraph.

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