Special equipment: a 9-inch pie plate, preferably glass
For the dough: In a medium bowl, whisk together the flour, granulated sugar and salt. Using your fingers, work the butter into the dry ingredients until it resembles yellow cornmeal mixed with bean-sized bits of butter. (If the flour/butter mixture gets warm, refrigerate it for 10 minutes before proceeding.) Add the egg and stir the dough together with a fork or by hand in the bowl. If the dough is dry, sprinkle up to 1 tablespoon more cold water over the mixture.
Form the dough into a ball, then flatten into a disk. Wrap with plastic wrap, and refrigerate until thoroughly chilled, at least 1 hour.
On a lightly floured surface, roll the disk with a rolling pin into a 12-inch circle about 1/8 inch thick. Transfer the dough to a 9-inch pie place, preferably glass, and trim the edges, leaving about 1 extra inch hanging over the edge. Tuck the overhanging dough underneath itself to form a thick edge that is even with the rim. Flute the edge as desired. Freeze the pie shell for 30 minutes.
Position an oven rack in the center and preheat the oven to 400 degrees F. Put a piece of parchment paper or foil over the pie shell and fill with dried beans or pie weights. Bake on a baking sheet on the center rack until the dough is set, about 20 minutes. Remove from the oven and lift the sides of the parchment paper to remove the beans. Return the shell to the oven and continue baking until the pie shell is lightly golden brown, about 10 minutes more. Cool on a rack.
For the filling: Whisk the granulated sugar, cornstarch, matcha and salt together in a small saucepan until evenly combined. Pour in the coconut milk and egg yolks and whisk until smooth. Set the pan over medium heat and cook, stirring steadily with the whisk, until the mixture thickens and begins to bubble, about 7 minutes. Continue cooking the filling, whisking constantly, for 30 seconds.
Remove the pan from the heat and, while whisking, stir in one piece of butter at a time, waiting until each piece absorbs into the pudding before adding the next. Whisk in the shredded coconut and vanilla, then scrape the filling into the cooled pie shell, smoothing the top. Press a sheet of plastic wrap on the surface of the filling to prevent a skin from forming. Refrigerate the pie until the filling sets, at least 4 hours or up to overnight.
Make the topping: Whisk the cream, vanilla and 6 tablespoons confectioners' sugar in a large bowl until stiff peaks form. Scrape the whipped cream onto the pie and spread it evenly over the top, creating peaks and valleys with a spoon.
Combine the matcha and the remaining teaspoon confectioners' sugar in a bowl. Place the matcha sugar in a small sieve and dust some of it over the top of the pie before serving.
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