Preheat your oven to 350°F (175°C) and line two baking sheets with parchment paper.
In a medium bowl, whisk together the flour, matcha powder, baking powder, and salt. Set aside.
In a large mixing bowl, cream the softened butter and granulated sugar together until light and fluffy, about 3-4 minutes.
Beat in the egg, vanilla extract, and almond extract until well combined.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined. If the dough is too crumbly, add the milk one tablespoon at a time until it comes together.
Scoop tablespoon-sized portions of dough and roll them into balls. Place them on the prepared baking sheets, spacing them about 2 inches apart.
Flatten each ball slightly with the bottom of a glass or your palm.
Bake for 10-12 minutes, or until the edges are lightly golden.
Allow the cookies to cool on the baking sheets for 5 minutes before transferring them to a wire rack to cool completely. Dust with powdered sugar if desired.