How do you get rid of Samantha the frog???

The Candy Frog can be matched like a normal candy, it will eat the same colour candies and grow. After it consumes enough candies the frog will start pulsing. You can click on it once, hover and bring it to another part of the board you want to clear. It will then clear a 3x3 area of the board

Yes, once you get the hang of it, it is impossible to lose a level due to not understanding how the frog works.