Preheat your oven to 350°F (175°C) and line a cookie sheet with parchment paper.
In a medium bowl, whisk together the almond flour, coconut flour, baking soda, salt, cinnamon, and nutmeg.
In a large bowl or stand mixer, cream together the softened butter, maple syrup, and chopped dates until well combined.
Beat in the egg and vanilla extract to the butter mixture at medium speed.
Gradually stir the dry ingredients into the wet ingredients with a wooden spoon until a gluten-free cookie dough forms.
Roll the dough into 1-inch balls and place them on the prepared cookie sheet, leaving about 2 inches of space between each cookie.
Gently flatten each ball with the palm of your hand or the bottom of a glass.
Bake in the preheated oven for 10-12 minutes or until the edges are lightly golden and crisp.
Allow the cookies to cool on the baking sheet for 5 minutes before transferring them to a wire rack to cool completely.