• Heat the oven to 400 degrees Fahrenheit and line a baking sheet with a silicone mat or parchment. If your mat isn’t broiler-safe, omit it and expect a slightly messier pan.

For Fritters:

• In a large bowl, whisk together both flours, brown sugar, baking powder, cinnamon, nutmeg, allspice, and salt. Work the cold butter into the dry mix with a pastry cutter or fingers until the mixture looks like coarse crumbs.
• Whisk the milk, egg, and vanilla in a small bowl. Pour into the dry ingredients and stir just until combined. Fold in the chopped apples gently so the batter stays tender.
• Scoop the batter onto the prepared sheet by 1/4-cup portions for standard fritters (use a heaping tablespoon for smaller ones), spacing them a couple inches apart.
• Bake for about 11–13 minutes, or until the bottoms are golden and centers are set (if making small fritters, begin checking at 8 minutes). Remove the tray to a wire rack and switch the oven to broil.

For Glaze:

• While the oven is heating to broil, whisk together the confectioners' sugar, milk, and vanilla until smooth and lump-free.
• Brush a light coating of glaze over each warm fritter, then place the pan under the broiler for 2–4 minutes, watching closely until the tops deepen in color and the glaze bubbles.
• Transfer the fritters back to the wire rack, brush with the remaining glaze, allow it to set, and serve. These taste best the same day.