Cream the softened butter and powdered sugar together until light and fluffy, about 2-3.
Add peppermint and vanilla extracts, mix until combined.
Gradually add gluten-free flour and salt, mix until just combined.
Gently fold in crushed peppermint candies.
Scoop tablespoon-sized portions onto a lined baking sheet, spacing them 2 inches apart.
Preheat oven to 350°F. Bake for 10-12 until edges are lightly golden.
Let cookies sit on the baking sheet for 5 before transferring to a wire rack.
Melt white chocolate and drizzle over cooled cookies, sprinkle with extra crushed peppermint candies.