Heat oil in the skillet.
Slice onion and add it to the skillet, stir well to coat all the onion slices.
While the onions cook, dice the apple and jalapeno.
Once the onions start to caramelize, add the diced apple and jalapeno.
Lay tortilla flat. Cut to the center of the tortilla.
Add the cooked shredded chicken to the quarter directly below the cut.
Add the cheese to the next quarter.
Next add the caramelized onion/apple/jalapeno mixture to the quarter above the cheese.
In the final quarter, add the honey mustard.
Now, start folding the sections. First fold the honey mustard sauce section over the caramelized onion mixture.
Fold that section over the cheese quarter.
Finally, fold the stacked portion over the chicken section.
Repeat these steps with all the tortillas.
Add olive oil or butter to a skillet.
Warm the skillet over medium heat.
Cook the folded quesadillas approx 3 minutes per side to brown the tortilla and make it crispy, and melt the cheese.