Lwcra, backdated money and debt

Hello everybody, I'm new to the group. I was wondering if anyone out there had any information for me please? I've just been awarded lwcra and I am aware that I am owed backdated money. The thing is I owe the dwp for previous tax credit claims, will all my backdated money be taken by them to pay the debt or is there any other way I can getbat least get some of the backdated money back? 

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