Most dentists will usually not be able to remove tonsil stones and may not want to remove the tonsil stones because they are not usually specialists in removing the tonsil stones.
To have tonsil stones removed you need to see your doctor or go to urgent care and see someone who is an ear, nose and throat specialist.
A surgeon at a hospital is likely able to safely remove tonsil stones but a dentist usually won't be able to do so.
When I was at a dentist office someone came into the dentist with tonsil stones needing removed and the dentist said they should go to the emergency room or see their doctor to have the tonsil stones removed.
So you should speak with your doctor about getting the tonsil stones removed as they can usually remove the tonsil stones.
The emergency room would be able to remove the tonsil stones as well but it would cost a lot more at the emergency room.
You can also try gargling with warm salt water or apple cider vinegar which can sometimes dislodge the tonsil stones and kill the bacteria that could be causing the tonsil stones.