These Eggnog Cookies are a buttery holiday favorite flavored with nutmeg and topped with a smooth rum glaze. A great addition to Christmas cookie trays or gifting.
Combine flour, baking soda, nutmeg, and salt in a large bowl. Set aside.
Using an electric hand mixer on medium-high speed, beat butter, granulated sugar, and brown sugar until light and fluffy.
Add egg to sugar mixture and beat until well incorporated. Reduce speed to low and alternate additions of flour mixture and ½ cup eggnog, mixing after each addition until combined. Divide dough into quarters, wrap in plastic wrap, and refrigerate until firm, 1 hour.
Adjust oven racks to upper-middle and lower-middle positions and heat oven to 375 degrees. Line 2 baking sheets with parchment paper.
Remove dough from refrigerator and roll each dough quarter between 2 sheets of parchment paper to ⅛ inch thickness. Using 3-inch star cutter, cut out cookies and place 1 inch apart on prepared baking sheets.
Bake cookies 8 to 10 minutes, until edges are light brown, switching and rotating sheets halfway through baking.
Remove cookies from oven and cool 10 minutes, then transfer to wire rack to cool completely. Repeat with remaining dough.
For the Rum Glaze
In a medium bowl, whisk remaining eggnog, rum, and confectioners’ sugar together until smooth. Spoon a scant teaspoon of glaze over cookies, sprinkle with nuts, and let dry,