In a mixing bowl, combine gluten-free flour, sugar, and softened butter until crumbly.

Add the egg and vanilla extract, mixing until a dough forms.

Roll out the dough on a floured surface and cut into desired shapes using a cookie cutter.

Place a spoonful of cherry pie filling in the center of each cookie shape.

Cover with another cookie shape and seal the edges.

Preheat the oven to 350°F (175°C).

Place the cookies on a baking sheet and bake for 20 minutes or until golden brown.