Heat olive oil in a large skillet over medium heat. Add chicken tenders and cook until browned and cooked through, about 6–8 minutes. Remove and set aside.
In the same skillet, sauté sliced poblano pepper until tender, about 5 minutes.
Add fire roasted diced tomatoes, chopped chipotle peppers, chili powder, oregano, cumin, salt, and pepper. Simmer for 5 minutes.
Chop cooked chicken and return to skillet. Stir in cilantro and combine well.
Lay tortillas flat and evenly distribute chicken mixture, rice, and shredded cheddar cheese over half of each tortilla.
Fold tortillas in half and cook in a clean skillet over medium heat until golden and cheese is melted, about 3 minutes per side.
Serve quesadillas warm topped with Greek yogurt, lime zest, diced mango, pickled red onion, jalapeños, fresh cilantro, and lime wedges.