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As there is no Mortgage on your property, your Wife would not be taking on any of your debts if the property were transferred to her.
However, please note that if a party is made bankrupt, then the Trustee in Bankruptcy can "make a claim" on any assets which have been gifted away within 5 years of the Bankruptcy. ie if you were to gift the property and then become bankrupt within 5 years, the Trustee could make a claim to show that you had deliberately transferred the property to avoid paying creditors and the Court could order that the property be transferred to the Trustee.
I hope your financial circumstances are not in such a position, but I thought I had better let you know this.
If there is no threat of Bankruptcy, none of your creditors could make a claim against your wife, as the debt is with you and not her, even if the property is transferred to her.
I hope this assists and sets out the legal position.
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