A fat free diet is too much for her (4)

I believe the answer is:

edie

'her' is the definition.

'a fat free diet is too much' is the wordplay.
'is too much' says the answer is hidden in the clue (the clue hides the answer plus unneeded letters).
'EDIE' is hidden within 'fat free diet'.

'for' is the link.

I've seen this clue in the Evening Standard.

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