In a medium mixing bowl, thoroughly combine the shredded chicken, barbecue sauce, and hot honey.
Heat a large skillet over medium heat and add one tablespoon of olive oil.
Lay one tortilla flat in the heated skillet. Spoon approximately 1/2 cup of the chicken mixture evenly across the tortilla.
Sprinkle shredded cheese over the chicken, and distribute sliced red onion and diced bell peppers evenly on top.
Place a second tortilla on top of the filled one, pressing down gently. Cook until the bottom tortilla is golden and crispy, about 3-4 minutes.
Carefully flip the quesadilla using a spatula. Drizzle the remaining tablespoon of olive oil around the edge if needed. Cook the other side for an additional 3-4 minutes or until golden and the cheese has melted.
Once cooked, transfer the quesadilla to a cutting board and let it rest for a minute before slicing into wedges.
Repeat the cooking process with the remaining tortillas and filling mixture until all quesadillas are prepared.
Garnish each quesadilla with chopped cilantro just before serving and accompany with a side of sour cream.
Notes
For a burst of color and freshness, garnish with chopped cilantro and serve with sour cream.