Preheat the oven to 350° Fahrenheit, and line a baking sheet with parchment paper.
Using the bowl of a stand mixer fitted with the paddle attachment or a large mixing bowl using an electric hand mixer, combine the butter, sugar, and lemon extract on medium-high speed until the butter is creamed and the texture is light and fluffy about 3-4 minutes.
Scrape down the sides of the bowl, and add the lemon zest, almond milk, and turmeric. Beat on medium-high speed until well combined, about 2 minutes.
Scrape down the sides of the bowl and add the flour, cornstarch, salt, and baking powder. Beat on low speed until the ingredients combine and you have a thick cookie dough.
Using ¼ inch cookie scoop, scoop the dough from the bowl, and roll it into a ball. Roll the ball into a shallow bowl filled with cane sugar. Place the ball on the prepared baking sheet about two inches apart, and gently press down using your fingers to form a disc. I recommend placing 6-8 cookies on each baking sheet.
Bake for 8-10 minutes in preheated oven or until the edges and tops have set. Don't overbake. Allow to cool on the baking sheet for 10 minutes, then transfer to a cooling rack to cool completely.
While the cookies are cooling, whisk together the lemon juice and powdered sugar. Once the cookies have cooled, drizzle the lemon glaze in a criss-cross pattern across the top of each cookie. Allow the glaze to set before serving.