Queen going through hectic schedule becomes subdued (9)

I believe the answer is:

squelched

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'subdued' is the definition.
(squelching is a kind of subduing)

'queen going through hectic schedule' is the wordplay.
I cannot quite see how this works, but
'queen' could be 'qu' (abbreviation for queen) and 'qu' is present in the answer.
This explanation may well be incorrect...

'becomes' is the link.

Can you help me to learn more?

I've seen this clue in The Hindu.

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