Preheat oven to 350°F and line baking sheets with parchment paper.
In a large bowl, beat the softened butter and powdered sugar together until smooth and creamy, about 2-3 minutes.
Add the egg yolk and vanilla extract, mixing until fully incorporated.
In a separate bowl, sift together the flour, matcha powder, and salt to remove any lumps.
Gradually add the dry ingredients to the wet mixture, mixing on low speed until a dough forms.
Gently fold in the white chocolate chips.
Roll dough into 1-inch balls and place on prepared baking sheets about 2 inches apart.
Bake for 9-11 minutes until the bottoms are just starting to turn golden (the tops will remain pale green).
Allow cookies to cool on the baking sheet for 5 minutes before transferring to a wire rack.
Once completely cool, dust lightly with powdered sugar for a snow-kissed effect.