Preheat your pellet smoker 325°F, using hickory, oak, mesquite pellets or a pellet blend.
Remove the turkey from the brine and wash it with cold water. Dry with paper towels.
To prepare the turkey for seasoning, stretch out the skin, and push back the membrane between the skin and the breasts.
Add ¼ cup of turkey rub to the butter and combine well. Cover the turkey in the compound butter, getting under the skin and inside the cavity.
Truss the turkey by cutting three strands of butcher twine about two feet long each. Bring the legs back to cross each other and tie them together. Tie each wing and pull them back, connecting the twine to the legs.
Stuff the turkey with celery, carrots, onion, rosemary, four orange wedges, and garlic.
Place turkey on a wire rack on a baking sheet and sprinkle about one tbsp of the turkey rub. Insert your meat probe thermometer into the lower part of the breast.
Place the turkey in the pellet smoker and smoke the turkey at 325°F for three hours or until the internal temperature reaches 165°F. You can spray the turkey periodically with cooking oil or spritz with melted butter to enhance the flavor and texture of the turkey skin.
Let the turkey rest for at least 25 minutes until carving. Carve the turkey by separating the legs and thighs first, then remove the wings. Cut out each breast as close as you can from the breast plate, and slice against the grain.Strain the drippings and pour over the sliced turkey.