Thank-you for your question. If your mother is a foreign national then she is required to obtain a family visit visa before she can visit you in the United Kingdom. This is the case even though you are a British citizen.
As a British citizen you have a right to respect for your family life under article 8 of the European Convention on Human Rights. However, this does not afford you an absolute right to be joined by your mother. Your right to family life must be balanced against the right of society to have fair immigration control. This balance is met by allowing those who meet the Immigration Rules for family visitors to be admitted and excluding those who do not.
Hopefully your mother has been granted a right of appeal against the decision to refuse her a family visit visa. If so, she can appeal to the Immigration Tribunal and hopefully win her case in front of an Immigration Judge. You should consider instructing a specialist immigration lawyer to advise and assist you further in respect of any appeal. There are many firms of solicitors that offer free legal representation. Alternatively you can represent yourself.
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