Didn't seem like I could Edit, Delete or Respond to the comment I just posted so here's the edit I wanted to make.
OK, what isn’t clear here is that this is a waiting game. Follow the directions and the enemy will kill themselves over time. So don’t freak out like I did when my Idol died. You have two other pets to kill the time.
I would recommend the second pet is one that has Deflection (like a Flayer Youngling) in case your Idol dies before the 11th turn.
So, according to the directions, I’m supposed to cast Stoneskin then just stand around twiddling my thumbs? Shouldn’t I at least try to do some damage to them?
I tried following the directions (Who knows, maybe they do something to damage themselves?) but all I witnessed was my Idol turn the other cheek so many times that he turned into a puddle of jelly. Never had to worry about deflecting the sting (turn 11).