Preheat the oven to 350°F (175°C).

In a mixing bowl, cream together the butter and sugar.

Add the egg and vanilla extract, and mix until combined.

Gradually add the gluten-free flour and salt, mixing until a dough forms.

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

Place a spoonful of cherry pie filling on half of the cookie shapes.

Top with the remaining cookie shapes and seal the edges.

Bake in the preheated oven for 15-20 minutes or until golden brown.