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Thanks for your question.
Ultimately, your wife would be able to compel you to reveal the loan by making an application to involved the court in the financial aspects of your divorce by way of ancillary relief proceedings. So if you don't reveal it to them this is the option available to them. Ancillary relief proceedings are expensive in legal fees, lengthy and often stressful.
Were I acting for your wife I certainly wouldn't accept a declaration of the loan by you unless specifically instructed to do so by your wife, because it is not unheard of for persons to misrepresent these matters.
I would take a pragmatic view of the situation and disclose.
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