1 Chill the ingredients for the pie crust: In a mixing bowl, stir the flour, sugar and salt until combined. Add the butter cubes and toss to coat them in the flour. Place in the freezer for 20 minutes while you prepare the apples.
2 Prepare the apples: Cut the apples in half and slice out the cores, leaving the peels on. With the flat sides down, cut the apple halves into 3/8-inch-thick half-moon slices.
3 Make the pie crust: Transfer the chilled flour and butter mixture to the bowl of a food processor. Pulse in short bursts until the butter is cut into pea-size pieces. (A few large pieces are okay.)
Open the top of the food processor and drizzle the ice water over the mixture. Replace the lid and pulse again in short bursts until the mixture looks uniform and crumbly but does not yet form large clumps of dough.
Press a small amount of the dough together in your hand. It should form a clump that holds together firmly when pressed without cracking at the edges. If it feels crumbly or dry, sprinkle with additional ice water, 1 tablespoon at a time, and pulse briefly to mix.
4 Chill the pie crust: Turn out the crumbly dough onto the countertop. Press the dough into a flat disk with the palms of your hands without manipulating it too much. Wrap it in plastic wrap and refrigerate for 15 to 20 minutes.
5 Preheat the oven to 425F. Line a baking sheet with parchment.
6 Roll out the pie crust: On a floured work surface with a floured rolling pin, roll the dough into a 12-inch circle. Transfer to the parchment-lined baking sheet.
7 Fill and bake the tart: Leaving a 2-inch border all around and starting at the outer edge, overlap the apple slices to fill the pie crust. Sprinkle with the nutmeg and sugar. Fold the edge of the pie crust over the apples.
8 Bake for 30 minutes, or until the apples are tender and the crust is golden.
9 Toast the almonds: While the tart is baking, spread the almonds on a baking sheet and toast in the oven for 3 to 5 minutes, until golden. Watch carefully to keep them from burning.
10 Finish the tart: Remove the tart from the oven. Sprinkle with the toasted almonds and blue cheese crumbles. Drizzle the honey over top. Cut into wedges and serve.