One written to by St Paul, man going after wandering sheep (8)

I believe the answer is:

ephesian

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'one written to by st paul' is the definition.
I can't judge whether this definition defines the answer.

'man going after wandering sheep' is the wordplay.
'man' becomes 'ian' (man's name).
'going after' means one lot of letters go next to another.
'wandering' indicates an anagram.
'sheep' anagrammed gives 'ephes'.
'ian' put after 'ephes' is 'EPHESIAN'.

Can you help me to learn more?

(Other definitions for ephesian that I've seen before include "Ancient Greek" , "One addressed by Paul" .)

I've seen this clue in The Times.

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