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The State can't insist on the property being sold. Provided the Nursing Home fees can be paid, there is no necessity to sell.
On a side point, a person's home is disregarded when assessing their capital, if a relative over 60 lives in it. So providing that your mother's home is your main residence and you lived there (and only there) for 2 years before she needed formal care, then it should be excluded, if you are 60 or over!
I hope this assists and answers your question.