You will need to check the position with a trained welfare rights advisor. Your refuge may have one, refer you to one or you can book with Citizens advice. Benefit rules are complex and subject to frequent changes.
From CPAG
When the value of property can be disregarded
There are some circumstances when the value of your property can be disregarded. These include, for example:
the home you live in – if you own the home you usually live in, its value is ignored. This includes if you are temporarily absent from the property, for example due to fleeing domestic abuse, but you are intending to return;
your former home, if you have left it following relationship breakdown – the value of your property is ignored for 26 weeks (or 6 months, for UC) from the date you left the property, if you left it following the breakdown of your relationship. If your former partner still lives there and is a lone parent, the value of the property can be disregarded indefinitely;
if the property is occupied by your relative who is over pension age, or who has limited capability for work or, for IS, income-based JSA, income-related ESA, HB, and pension credit is ‘incapacitated’ – in this case the value of the property can be disregarded indefinitely if your relative continues to occupy the property and meet the criteria. ‘Incapacitated’ is not defined but guidance suggests that it includes anyone who receives or would be entitled to employment and support allowance, attendance allowance, disability living allowance or statutory sick pay. It may also include those entitled to personal independence payment, adult disability payment or child disability payment, although it may be arguable that a broader interpretation should apply;