Preheat oven to 350℉. Sift the gluten free flour, almond flour, matcha powder, baking powder, and salt together. Set aside.
Cream together the butter and sugar until fluffy. Beat in the eggs, milk, and vanilla extract. Mix in the dry ingredients and stir until smooth.
Pour the batter into a lined muffin pan and bake for 15-20 minutes, or until a toothpick comes out clean. Let the cupcakes cool completely before frosting them.
Transfer the frosting to a piping bag and frost the cooled cupcakes.