Well, if the property, and the mortgage are in your name, as I said, the starting point is that you are the sole legal and beneficial owner. It is possible for a party whose name is not on the deeds to establish an interest in the property under the general law which applies to land ownership, but they have to prove and if the evidence is missing, that could be kinda sorta difficult.
It looks to to me very much as though your partner is not going to move off her own bat. In purely practical terms, she is enjoying rent free occupation and I can see no obvious reason why she would want to give it up.
You say it is your opinion that the mortgage lender would not be content with two borrowers. I''d be surprised about that, to be honest. Having two borrowers as opposed to one simply means there are two people they can sue if the mortgage is not paid, as opposed to one.
I think you''d have difficulty if you were trying to sell. Let me tell you why. It used to be, shall we say, not unknown for spouses ( usually, I''m afraid, men ) who were the sole owners of the house in question, with a wife and family, to mortgage the property without the wife being aware of it. The mortgage fell into arrear, and the unfortunate wife found out, too late, that she had been deceived by her husband and stood to be evicted. So to stop this the Courts and Parliament, quite rightly, introduced various safeguards, notably
matrimonial home rights, which I take it you know about.
So if a conveyancer is buying from you as joint owner and there is a woman and kids living there, the buyer is going to ask all sorts of awkward questions and will probably want a written statement from the wife or other occupants that they claim no interest in the property.
I''d suggest it would be worth having a word with the Land Registry about the restriction. My esperience of them is that they are always helpful, and the world would be a better place if all public officials were that knowledgeable.
LMM