Preheat the oven to 350F and get a baking dish out.
Heat up the skillet to medium-high heat. Melt the butter, add in the chicken, and cook it until it's no longer pink. It will take around 7 minutes.
Now, add the onion, bell pepper and cook for another 2-3 minutes.
Then, add in minced garlic, chili powder, salt, and black pepper. Stir to coat the chicken with spices, then add in the cream cheese, chicken broth, 1/2 cup cheddar cheese, parsley and oregano. Stir well and let it simmer for 3-5 minutes.
Finally, stir in the heavy cream and take the skillet off the heat.
Take the baking dish out and spoon some enchilada sauce onto the bottom of the baking dish.
Now, take each chicken deli meat slice, place the chicken mixture we've just cooked up on one side of the deli meat, and roll it up as if it were a tortilla. Do it with all of the deli meats - around 8 will fit into the baking dish.
Place each rolled deli meat on the baking dish right next to each other, filling up the baking dish.
Cover with enchilada sauce and the remaining 1/2 cup cheddar cheese.
Bake in the oven for 20 minutes. Garnish with cilantro and sour cream.