Preheat your oven to 325°F (160°C) and line a baking sheet with parchment paper.
In a mixing bowl, cream together the softened butter and powdered sugar until light and fluffy. If you have an electric mixer, it'll make this step easier.
Add the vanilla extract and a pinch of salt to the butter-sugar mixture. Mix until well incorporated.
Gradually add the gluten-free all-purpose flour to the mixture, stirring until a crumbly dough forms.
Turn the dough out onto a clean surface and knead it gently until it comes together.
Roll out the dough to about 1/4-inch thickness. You can use cookie cutters to create fun shapes, or simply slice it into squares or rectangles.
Place your shortbread cookies on the prepared baking sheet, leaving a bit of space between each one.
Bake in the preheated oven for 12-15 minutes, or until the edges turn a light golden brown.
Remove from the oven and let the cookies cool on the baking sheet for a few minutes before transferring them to a wire rack to cool completely.