Hi, thank you for your question. Is her name on the title of your property, if so is it as joint tenants or tenants in common (if so in what shares?)
Thanks for confirming. Given that the property is in your sole name and you are not married, and in the absence of any formal agreement or intentions, your ex-partner has no legal interest in the property and she cannot force you to sell the property. If she believes that she has a beneficial interest in the property she can put a "caution" on the title but from the sounds of it she should have no interest given that there have been no significant contributions by her and there appears to be no deed of trust or formal agreement between you.
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The caution will be disclosed to any potential buyer as it will be registered on the title and may delay or prevent a sale, and your ex-partner will receive notice of any sale of the property.
However, you are entitled to apply to cancel it at any time, and at that point your ex-partner would need to prove what entitlement she has to the property. If a disagreement remains, a Land Registry adjudicator will be allocated to resolve this.