Legal Question in Consumer Law in Georgia

No one here has the contract to tell you if it is binding. Why would you think it is not? You chose to not tell us that part. That was a question to consider before you signed, as was the issue of her obligations (which, again, you chose to not tell us).

Why would you think contracts are not binding? Contracts if properly written are binding.

No one here has read the contract, so to answer a question as to your remedies, you'd have to pay a lawyer to read it. Your remedies are solely what is in the contract. It will spell out what is (and is not) a breach, and what you can do (and cannot do).

It appears your question is - "can you terminate the contract since she has missed so many lessons". Review your contract. Missing lessons would definitely appear to be a breach of contract, but I can only assume it is a very simple if not "homemade" contract - otherwise you would not be asking. Assuming you have not paid for the remaining lessons, negotiate new terms or a new contract that will allow you to terminate if she misses any more lessons. Good luck.