To make these cookies gluten-free, substitute both the all-purpose and cake flour with a high-quality 1:1 gluten-free baking flour blend that contains xanthan gum. While the texture may be slightly more delicate, the cookies will still bake beautifully with the same creamy center and aromatic cinnamon flavor. Be sure to check that your cornstarch and baking powder are certified gluten-free, as these ingredients can sometimes be processed in facilities that handle wheat.