Cream the butter and sugar together in a bowl.
Add the egg and mix well.
Add cake flour, almond flour, and baking powder, and mix evenly.
Add finely chopped peaches and mix into the dough.
Shape the dough into small balls and place them on a baking sheet.
Bake in a preheated oven at 170°C (338°F) for 12-15 minutes.
Let cool to finish.