Season the chicken breast halves with salt and lemon pepper on both sides
In an oven-safe skillet, heat the vegetable oil and brown chicken breasts on both sides. Cook them until the juices run clear. Set aside and preheat the oven to 350f
Using the same skillet, cook bacon until brown and crispy. You may have to make it in batches. Remove from the skillet and place on a plate lined with paper towels to drain fat and crumble. Discard bacon fat from skillet, but leave about a teaspoon.
Add the sliced onion and brown sugar to the skillet and cook until caramelized
Once caramelized, turn the heat off and add the heavy cream. Preheat the oven to 350f
Return the chicken breasts to the skillet, top with the crumbled bacon
Sprinkle the cheese on top and bake until cheese is melted and bubbly