I see a tonsil stone at back of throat but it's covered by clear membrane. so, won't come out. having quarterly periodontal cleaning this week. do periodontists know about this to remove it? or, maybe an ent? no pain, blood or smell?

ENT doctor would be better for addressing issues with tonsils. If there are not symptoms you may watch and wait and the stone may come out on its own. Visit this site for information on this topic: https://my.clevelandclinic.org/health/diseases/21505-tonsil-stones

Periodontists clean teeth, restore unhealthy gums, do implants, and other surgical procedures. A ENT or OTOLARYNGOLIGIST is best specialist for this procedure. This is not a dental procedure.