Player inspiring woe thrashed at Reading (9)

I believe the answer is:

tragedian

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'player' is the definition.
(tragedian is a kind of player)

'inspiring woe thrashed at reading' is the wordplay.
'at reading' anagrams to 'TRAGEDIAN'.
However, I'm not clear how this is indicated.

Can you help me to learn more?

(Other definitions for tragedian that I've seen before include "Serious actor" , "actor in Macbeth?" , "Egad, I rant about dramatic actor" , "A great din (anag) - actor" , "Egad, I rant about actor in sad drama" .)

I've seen this clue in The Telegraph.

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