A contemptuous person roughly upended lover in play (8)

I believe the answer is:

cressida

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'lover in play' is the definition.
'cressida' can be an answer for 'lover' (I have seen 'Lover of Troilus ' mean 'cressida' so perhaps 'lover' could also mean 'cressida'). I am not certain of the 'in play' bit.

I can't explain the rest of the clue.

Can you help me to learn more?

(Other definitions for cressida that I've seen before include "Lover of Troilus (Shakespeare)" , "Titled lady" , "Shakerspeare play ''Troilus and ........''" , "Trojan lover" , "See 17" .)

I've seen this clue in The Times.

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