Trim the turkey shoulder of any excess membranes and fat. Spread mustard all over the turkey shoulder to help the spice rub adhere.
In a bowl, combine the salt, pepper, garlic powder, onion powder, smoked paprika, brown sugar, and ground cumin. Generously rub the spice mixture all over the turkey shoulder.
Preheat your smoker to 230-250°F (110-120°C). Prepare your smoking wood for the desired flavor.
Place the turkey shoulder on the smoker rack and smoke for 5-6 hours, or until the internal temperature reaches 165°F (75°C).
Wrap the turkey shoulder in butcher paper or aluminum foil and continue smoking for another 2-3 hours, or until the internal temperature reaches 195°F (90°C).
Remove the turkey shoulder from the smoker and let it rest for at least 30 minutes to allow the juices to redistribute.
In a saucepan, combine the BBQ sauce, honey, and apple cider vinegar. Simmer over medium heat for 5-10 minutes, or until the sauce has thickened slightly.
Brush the turkey shoulder with the honey BBQ sauce and return it to the smoker for another 20 minutes to allow the glaze to set.
Shred or slice the turkey shoulder thinly and serve with grilled vegetables or fresh coleslaw.
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