Isn't "dental" issue pertaining only to the teeth? when one's palate or roof of mouth was injured during oral procedure, is it medical or dental issue?

Either: Dentists, oral surgeons and ear, nose and throat physicians all are concerned with the same area of the body. Any of these specialists may be consulted regarding the palate or roof of the mouth.

Not Necessarily: "dental" translates to teeth, but since the teeth are located in the mandible and maxilla, the bones are also included into the scope of the profession. There is an overlap with ENT physicians.

Dentist for sure: Dentists are doctors of the mouth, work on teeth, muscles, jaws and joints, oral surgeons can work in the er and perform maxillo-facial surgeries and remove tumors from the palates etc.... The dentist does work on the palate. Physician ENT do work in the throat and thus can perform procedures such as tonsillectomies. Hope this helps.