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Hello, this is Jim, a dual-qualified lawyer (UK & Republic of Ireland) and happy to help you today.
The house is matrimonial property so she may be entitled to a share even if she is not on the mortgage. She could register home rights to claim a share of the property - this may stop the lender from taking it back. You would need to stop the payments and default on the mortgage if you wanted the lender to take possession. Your credit rating would be affected. There is £50,000 equity in the property too - you could agree to sell the house and deal with the proceeds (share them, or if you have arguments to keep all of them, you can negotiate with her).
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