My cat catches mice, birds, baby rabbits, lizards, snakes. Half the time she eats the heads off the mouse / baby rabbit -- the other half of the time she brings

My cat catches mice, birds, baby rabbits, lizards, snakes. Half the time she eats the heads off the mouse / baby rabbit -- the other half of the time she brings them in the house to play with. She is a murderer, but she is a cuddly murderer.