The criteria to obtain a elderly dependents visa is as follows
Plainly the difficulty is that she is not financially dependent on you so it would be refused initially and you would be given leave to appeal the application. The power to grant visas is discretionary so if you can show there are exceptional circumstances (ice. her health, that she needs family to emotionally support her rather than simple care treatment that she could pay for) then you may have a chance on appeal.
It won't be easy and you will need to instruct a solicitor to prepare the application and act for your throughout the process to give you the best possible chance of success.
They would have to complete Form VAF4 - Settlement. It would be best for an immigration solicitor to prepare it for you here before sending it to your grandmother to submit.
You can find Uk immigration solicitors through the following Law Society Website search engine:-
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