For the doughnuts: In a medium bowl whisk together the milk, melted butter, egg and cherry extract. Add the flour, sugar and salt to a fine-mesh sieve and sift into the bowl of a stand mixer. Using the dough hook attachment and mixing on medium speed, begin to add the milk mixture to the flour mixture until well combined, 3 to 5 minutes. Add the cherries and continue to mix the dough until the sides of the dough ball pull away from the mixing bowl, 3 to 5 minutes.
Generously coat the work surface with flour and turn the dough out onto the floured surface. Dust the top of the dough with more flour, then roll the dough into a 1/4-inch thick sheet. Use a 2 3/4 -inch doughnut cutter to stamp out circles from the dough. Place the circles on a parchment paper-lined baking sheet. Bring the scraps together, re-roll them into a 1/2-inch thick sheet, and stamp as many circles from the dough as possible (discard the remaining scraps); you should get about 12 doughnuts.
Line a rimmed baking sheet with paper towels and set a wire cooling rack on top. Pour the oil into a large saucepan set over medium-high heat; the oil should fill the saucepan by about 3 inches-if it doesn't, add more. Heat the oil until it reads 375 degrees F on an instant-read thermometer. Add 2 to 3 doughnuts to the hot oil and cook until the doughnuts are golden brown, 2 to 3 minutes on each side. Transfer to the cooling rack to drain and cool and repeat with the remaining doughnuts, making sure the temperature of the oil returns to 375 degrees F between batches.
For the icing: In the bowl of a stand mixer add the butter and vanilla. Using the paddle attachment, beat the butter on medium-low speed until creamy. Alternate adding 4 cups of the confectioners' sugar and the cream in three additions, starting and ending with the confectioners' sugar and adding more if the mixture doesn't form soft peaks after 10 minutes. Add the pink peppercorns to taste.
Finishing the doughnuts: Use a piping bag fitted with a star tip to pipe the icing on top of the doughnuts. Place a maraschino cherry on top and serve.
A viewer or guest of the show, who may not be a professional cook, provided this recipe. It has not been tested for home use.