Preheat the oven to 350℉.
In a medium mixing bowl, mix together the flour, baking soda, baking powder, cinnamon, nutmeg, and salt. Set aside.
In a medium mixing bowl, cream together softened butter and sugar. Mixture will look like damp sand.
Add egg and beat until smooth and creamy.
Add pumpkin puree and 1 tsp. of vanilla extract and mix until combined.
Drop by rounded tablespoon onto a greased cookie sheet(alternatively, use a small cookie scoop).
Bake for 15-18 minutes. Let cool on the pan for 2 minutes, then transfer to wire cooling rack to cool completely.
Once cookies are cooled, combine combine the glaze ingredients in a small bowl. Stir until smooth, thinning with milk as needed. Drizzle over cooled cookies and enjoy.