UK Property Law
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In the event of a guarantee being enforced against you your wife's interest in the property or proceeds of sale is protected - only your share is at risk.
In order to transfer the property in to her sole name she would need to receive a mortgage in her sole name. The lender's charge prevents a transfer of title without their consent.
She would also have to purchase your share at market value. If it is transferred to her at an undervalue then the creditor of the guarantee could apply to have the transaction set aside. The Courts have very wife powers to do this.
In short, you can do it but she must pay you a fair price for the equity and remortgage in to her sole name
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