Re: white spot/lump on tonsil, not stones!
Before I had my tonsils removed 6 years ago, I had a few tonsil stones that just wouldn't move. I'd try using my fingers or a q-tip, gargling and nothing would work and then one day a piece would break off -- ewww nasty and eventually it'd dislodge in pieces.
I finally decided to have my tonsils removed when it got to the point that I was extracting tonsil stones dailiy, nothing would seem to work and my tonsils would bleed. Freaked me out.