White spots on the tonsils with no difficulty or pain in swallowing are usually considered as tonsil stones, purulent discharge or food debris.
If it is tonsil stones or food debris, the volume is small in eating and coughing will fall off, generally do not need special treatment, the larger volume of deeper stones can be removed by saline or mouthwash gargling, cotton swabs gently poked and squeezed, oral rinser off the way.
Stones that are deeper or more difficult to remove should be treated in a regular hospital. If it is purulent discharge, consider acute purulent tonsil inflammation, mostly streptococcal infection preferred penicillin treatment, this situation needs to go to the hospital for treatment, not blindly self-medication.