Halve and core the apples and slice them crosswise 1/4 inch thick. Set aside.
In a bowl, combine all the dry ingredients. Add the shortening and combine until you have the consistency of small crumbs.
Slowly drizzle water by the tablespoon until the dough holds together enough to form a ball. If too dry, add the remaining water, and combine until the dough comes together.
Place dough on a lightly floured parchment sheet, roll out the pastry to a 12 to 14-inch circle and transfer to a large rimmed baking sheet.
Preheat oven to 400 degrees F.
Decoratively arrange the apple slices on top leaving a 1-inch border.
Drizzle honey and sprinkle cinnamon over apples.
Fold the pastry edge up and over the filling. Brush egg wash onto crust. Dust cane sugar over dough and apples.
Top galette with pieces of butter before baking.
Bake galette for 40 to 45 minutes, until the pastry is nicely browned and crisp, and all of the fruit is tender.
Notes
Make ahead: Dough can be made up to 3 days in advance and stored in the refrigerator or frozen for up to 3 months.
Bake: The crust of a galette is thin, so it has the potential to burn quicker than a pie crust. Keep the galette in the center of the oven, rather than the bottom or top of the oven.
Serve: Serve warm or at room temperature with a dollop of vanilla ice cream.
Storage: Galette is best eaten the day it is baked. Store leftovers, loosely covered, at room temperature for up to 2 days.
Optional Variations:
Gluten-Free - Swap in your favorite cup-for-cup GF all-purpose flour blend to make a celiac-friendly dessert. Make sure to rest the dough for a minimum of 30 minutes if you make the switch — GF flour is "thirstier" than wheat flour and needs time to absorb some of the latent moisture from the dough to avoid ending up grainy.
Extra Easy - Short on time or patience? Feel free to substitute frozen pie dough or puff pastry, available year-round in the frozen section of most grocery stores.
Add-Ins - Consider gussying up your galette by adding in tart cranberries, crunchy pecans, or a drizzle of caramel sauce for a fun twist.
Vegan - Follow the instructions for making the fruit galette dairy-free, use agave or maple syrup in place of honey, then use one of these 21 vegan egg-wash substitutes.
Dairy-Free - Use your favorite dairy-free butter alternative. Top with dairy-free ice cream, whipped coconut cream, or vegan caramel sauce.