Prepare the Oven and Pan: Preheat the oven to 300°F. Line a baking sheet with parchment paper and set aside.
Mix the Dry Ingredients: In a large bowl, whisk together flour, sugar, baking powder, salt, and lemon zest until evenly combined.
1 ½ cups plus 2 tablespoons all-purpose flour, 3 tablespoons plus 1 teaspoon granulated sugar, 1 teaspoon baking powder, 1 pinch salt, Zest of 1 lemon
Form the Dough: Make a well in the center and add the egg, melted butter, and milk. Stir with a fork until a soft dough forms. Transfer to a clean surface and gently knead until smooth.
1 large egg, ¼ cup butter, 4 tablespoons milk
Shape the Cookies: Pinch off small pieces of dough and roll into thin ropes about 5 to 6 inches long. Tie into loose knots or form circles and place on the prepared baking sheet.
Bake the Cookies: Bake for 15 to 18 minutes, until set and lightly golden. Transfer to a cooling rack and let cool completely.
Make the Lemon Glaze: In a small bowl, stir powdered sugar, lemon juice, and milk until smooth and pourable. Adjust thickness if needed.
1 ½ to 2 cups powdered sugar, 1 tablespoon lemon juice, 1 tablespoon milk
Glaze and Set: Spoon glaze over cooled cookies and allow to set before serving or storing.