Preheat the oven to 425 degrees F. Brush a baking sheet with a drop of olive oil.
Pat the shrimp completely dry with a paper towel. Season it all over with salt and pepper.
Heat ½ tablespoons of olive oil in a skillet over medium heat. Add the shrimp in a single layer and cook for 1 to 2 minutes, until pink and opaque. Flip the shrimp. Add in the hot honey and chipotles. Cook for another 2 to 3 minutes, letting the honey chipotle sauce bubble. Turn off the heat.
To make the mango salsa, combine the mango, tomatoes, onion, cilantro and lime juice with a big pinch of salt and pepper. Stir together and let sit for a few minutes.
To make the quesadillas, place a tortilla on the baking sheet and fill one side with a sprinkling of cheese, the shrimp mixture, a little bit of salsa and another sprinkling of cheese. Top with a tortilla and brush the top side with olive oil. Repeat with remaining tortillas and ingredients.
Bake for 8 minutes. Gently flip and bake for 8 minutes more.
Remove and slice in triangles. Serve with the mango salsa!