Heat the oven to 400°F. Line a rimmed baking sheet with parchment paper.
In a mixing bowl, combine the ground turkey, egg, breadcrumbs, diced onion, garlic powder, smoked paprika, salt, black pepper, and ¼ cup of the barbecue sauce. Mix gently until just combined.
Shape the mixture into a compact loaf on one side of the prepared baking sheet. Avoid packing it too tightly, which can make the meatloaf dense.
Put the sweet potato wedges in a bowl and toss them with the olive oil. Arrange them in a single layer on the other side of the baking sheet, leaving a little space between the wedges.
Bake for 25 minutes. Brush the top of the meatloaf with the remaining ¼ cup barbecue sauce, then return the pan to the oven.
Bake for another 15 to 20 minutes, until the meatloaf reaches 165°F in the center and the sweet potato wedges are tender and browned at the edges. Let the meatloaf rest for 5 minutes before slicing.