Place under the broiler for 5-6 minutes, makinf sure to turn the peppers about every minute.
Once the poblano peppers are charred and wrinkled on the outside, remove from the oven, place in a them bowl, and cover them with plastic wrap until cool.
Once cool, peel away the poblano pepper skin and slice it into thin strips.
Making the Quesadillas
Heat a large sauté pan over medium heat.
Shred your Oaxaca and cheddar cheeses and mix together.
½ cup Oaxaca cheese, ½ cup White cheddar cheese
Place your tortillas in the pan like in the picture where only half of the tortilla is touching the pan.
3 medium flour tortillas
Add some cheese and poblano peppers on top of that.
Gently fold the tortilla down covering the filling.
Cook for about 3 minutes or until crisped on the first side then flip.
Cook for an additional 3 minutes or until crisp on both sides and the cheese inside the tortilla is fully melted.
Remove from the pan and cut into 3 triangles.
Serve with the poblano cream sauce on the side for dipping.