In a large bowl, whisk together the flour, sugar, matcha powder, baking powder, and kosher salt.
Grate the frozen butter into the flour mixture. Mix it in using your fingers (or a pastry cutter) until all the butter is covered in flour and you have pea-sized lumps. Place the bowl in the refrigerator or freezer while you prepare the wet ingredients.
In a medium bowl, whisk together the coconut milk, egg, and vanilla. Pour the wet mixture into the dry ingredients. Mix to form a crumbly dough.
Transfer the crumbly dough to a lightly floured work surface (or can do this directly in the bowl). Knead the dough until it comes together. Transfer the dough ball onto a baking sheet lined with parchment paper or a silicone baking mat and form it into an 8-inch disc. Cut the dough into 8 equal wedges using a bench scraper or knife.
Place the scones in the fridge or freezer for 15 minutes before baking and preheat your oven to 400ºF/200ºC.
Space the pieces out so there's room between each one and brush the tops of the scones with a little coconut milk. Bake for 15-20 minutes or until lightly golden brown on the edges. Remove from the oven and let cool.
To make freeze-dried strawberry powder, add the freeze-dried strawberries to a food processor or blender until a smooth powder forms.
Add the powdered sugar, 3 tablespoons of freeze-dried strawberry powder, and water to a small bowl. Whisk until smooth then drizzle over the top of each scone once cooled.