This trophy is missable. If you do not earn this before you beat all of the levels you will need to delete the game, re-download it and earn this on a fresh save.
To unlock this trophy you need to beat 10 levels without exiting the game. This only counts the first time you complete a level, so if you don't get it before you beat all of the levels then you'll need to do it on a new save by deleting and re-installing the game.