Grease pie pan with oil of choice (I use coconut oil).
In a medium bowl, combine gluten free flour, coconut flour, sweetener, salt, xanthan gum, cinnamon, and butter slices. Cut with a knife and fork until in small chunks and starting to combine with flour. Then use your hands to work it in a little more.
Add egg, vanilla and olive oil. Continue mixing with either a hand beater or a spatula.
Roll into a large ball, cover, and refrigerate for at least 60 minutes.
Preheat oven to 350 degrees F.
Press dough into pie pan so the bottom and sides are even thickness.
Poke holes in the bottom of the dough.
Bake for 18-20 minutes or until lightly golden brown.
Set aside to cool.