Possibly needing a shawl cut? (4-10)

'possibly needing a shawl' is the definition.
I can't judge whether this definition defines the answer.

'cut?' is the wordplay.
I cannot quite understand how this works, but
'cut?' could be 'coldshoulder' (synonyms) and 'coldshoulder' is found within the answer.
The remaining letters 'ed' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).