Preheat the oven to 350°F. Line two baking sheets with parchment.
In a small bowl, whisk together the 1 ½ cups oat flour, 1 teaspoon cornstarch, 1 teaspoon baking powder, and ½ teaspoon fine sea salt.
In a large bowl, beat together the ½ cup unsalted butter, ½ cup granulated sugar, ¼ cup brown sugar, and 1 tablespoon lemon zest until creamy. Beat in the ½ teaspoon pure vanilla extract and 1 large egg, beating until well incorporated, then beat in the flour mixture until a smooth dough forms. Place in the oven to chill for about 30 minutes.
When ready to bake, preheat the oven to 350℉. Drop the cookies by the tablespoonful onto the prepared baking sheets, spacing them about 2" apart (optionally, use a fork dipped in water to gently flatten each one). Place in the oven and bake for 13-15 minutes, until golden.
Remove the cookies from the oven and cool for 2 minutes on the baking sheets before transferring them to a rack to cool completely. After cookies are completely cool, drizzle with the lemon glaze if using.
Notes
Rest the dough overnight. I like storing the dough in an airtight container in the fridge for up to 24 hours. This performs the dual purpose of allowing the gluten-free flour to hydrate and letting the flavors fully develop.
Roll in sugar. If you like, roll the dough balls in granulated or coarse sugar before baking.
Press with a fork. I experimented with doing a cross-hatch pattern on these cookies (similar to flourless peanut butter cookies), but I prefer the look and taste of leaving them unpressed. However, this is an option if you prefer a flatter cookie.
Baking time options. For a crisper cookie, bake the dough a minute or two longer than instructed. For a softer cookie, pull the cookies out of the oven a minute or so earlier.
To glaze or not to glaze? I often top my cookies with a homemade lemon glaze or a maple glaze for a different flavor twist. You could also dust them with powdered sugar or try drizzling each one with my simple chocolate icing.
Use gluten-free all-purpose flour. If you don't have oat flour on hand, use 1 ½ cups of a 1:1 gluten-free flour blend, or try my homemade gluten free flour blend instead of the oat flour.