As a note, keep in mind that the prep time will depend on what you like in your quesadilla. It could take less than 15 minutes to throw together or longer if you have to make turkey or chicken.
Preheat the oven to 425 degrees F. Brush a baking sheet with a drop of olive oil.
To make the turkey, heat a skillet over medium heat and add in the ground turkey, breaking it apart with a wooden spoon. Season it with the cumin, paprika, chili powder, garlic powder, salt and pepper. Stir well, continuing to break apart the meat into small crumbles. Cook until the turkey has browned. You can do this ahead of time. It also freezes great.
To make the quick pico, toss the tomatoes, onion, cilantro and lime juice together in a bowl. Season with a pinch of salt and pepper
To make the quesadillas, place a tortilla on the baking sheet and fill one size with a sprinkling of cheese, the turkey, black beans, salsa, pico and another sprinkling of cheese. Fold over the tortilla and brush the top side with olive oil. Repeat with remaining tortillas. Bake for 8 minutes. Gently flip and bake for 8 minutes more.
Serve immediately with your favorite toppings.