Start by combining the butter, egg, vanilla, and sugars in a stand mixer. Cream them together on low for 30 seconds.
Increase the speed to medium and blend for 1 minute.
Add the salt, pumpkin pie spice, pureed pumpkin, baking soda, and xanthan gum. Blend on medium/low for 30 seconds.
Turn the mixer off, add the flour and blend on low for 15 seconds, scrape the sides and then blend on medium for about 1 minute.
Chill the dough for 20 minutes. While the dough is chilling preheat the oven to 350ºF. Line a baking sheet with parchment paper and scoop the cookie dough onto it with a cookie dough scooper spacing them 2 inches apart. Bake for 15 minutes.
Allow the cookies to cool and then make the frosting by adding the cream cheese and butter to a stand mixer for 30 seconds, scrape the sides and then add the powdered sugar, maple extract, cinnamon and coconut milk. Blend on medium speed for 1 minute scraping the sides halfway through. Once the cookies are cool frost and serve. Store in the fridge. Enjoy