Put right what is shattering badly (10)

I believe the answer is:

straighten

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'put' is the definition.
(I know that straighten is a type of order)

'right what is shattering badly' is the wordplay.
'shattering' anagrams to 'STRAIGHTEN'.
However, I am unsure how this is indicated.

Can you help me to learn more?

(Other definitions for straighten that I've seen before include "Adjust" , "Shattering (anag) - unbend" , "Get in line" , "put back in order" , "Remove bends from (something)" .)

I've seen this clue in The Times.

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