Before you begin, preheat your oven to 350°F and line a baking sheet with parchment paper.
In a medium bowl, whisk together the gluten-free flour, cocoa powder, baking soda, and salt. Set aside.
In a large bowl, beat the butter and sugars together until they are light and fluffy. Add the egg and vanilla extract and beat until well combined. Add the red food coloring and mix until the dough is a deep red color.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Stir in the white chocolate chips.
Drop spoonfuls of the dough onto the prepared baking sheet, leaving about 2 inches of space between each cookie. Bake for 8-10 minutes, or until the cookies are set and the edges are lightly golden.
Remove the cookies from the oven and let them cool on the baking sheet for a few minutes before transferring them to a wire rack to cool completely.