First, if you have distrust and worry about the quality in the future, you can of course discuss a refund with the current person in charge. After all, the transfer of medical institutions is illegal, and the current person in charge should agree with your reasonable request.
Second, you may be worried that the fee has been paid and the other party can help you continue. From a legal point of view, as long as the name of the institution has not changed and the subject serving you has not changed, of course, you can continue your treatment.