Yoga instructor bends over backwards to accommodate Shakespearean (4)

I believe the answer is:

iago

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'accommodate shakespearean' is the definition.
I can't judge whether this defines the answer.

'yoga instructor bends over backwards' is the wordplay.
'over' indicates the answer is hidden within the clue (the clue contains or goes 'over' the answer).
'backwards' says the letters should be written in reverse.
'ogai' is hidden within 'yoga instructor bends'.
'ogai' reversed gives 'IAGO'.

'to' is the link.

Can you help me to learn more?

(Other definitions for iago that I've seen before include "Advisor to soldier" , "villain in play" , "Organ stop" , "Othello's Ancient" , "Evil character in Othello" .)

I've seen this clue in The Guardian.

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