Push to the edge girl troubled with amnesia (11)

I believe the answer is:

marginalise

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'push to the edge' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'girl troubled with amnesia' is the wordplay.
'troubled with' indicates an anagram.
'girl' with its letters anagrammed with 'amnesia' can make 'MARGINALISE'.

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I've seen this clue in The Times.

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