For the chicken, you can use thighs, legs and thighs (quarters separated), or breasts. I would lean towards the plus side and go with 3-4 quarters or 4 breasts, no one will complain if you use more chicken. Once you make this, then just make a note as to how much chicken you used. Not only are you going to make tender and juicy chicken, you are going to make the broth you need for this recipe as well. Broth can be simply starting with water, or you can flavor that up by adding a chopped up carrot, onion, celery, and some black peppercorns, any or all work fine.
In a large pot, add the chicken pieces. Add about 6 cups of water. Bring the pot to a boil, then reduce to a medium simmer until the chicken is just cooked through, about 20-30 minutes. Cut into a piece to check.
When the chicken is cooked, simply turn off the heat and move the pot to an unused burner AND leave the chicken in the pot. The chicken will continue to cook a bit until the broth cools off, so a nearly done piece of chicken will be tender and juicy.
Once the broth is at room temperature, remove the chicken and shred that. Goal is 3 cups shredded, if you are a little over that, perfectly fine.
Pour the broth through a strainer, reserve 2 cups of broth for this recipe, and store the rest in the fridge for other uses, such as making rice.
Preheat your oven to 180° C (350° F) and get out a 9x13 or 7x11 baking dish. I will clarify the size when I make this.
In a mixing bowl, add the cream cheese, chicken, 1 cup of shredded cheese, lime juice, cumin, and chili powder. Mix together until combined. Season with salt and pepper to taste and as desired.
Lay a tortilla on the counter, add 2-3 tablespoons of the chicken mixture, roll and place seam side down in the baking dish. Repeat until all the chicken mixture is used.
In a pan, melt the butter then whisk in the flour, continue whisking until the roux turns golden brown, about 2-3 minutes, and season with salt and pepper as desired.
Slowly whisk in the chicken broth the other half of the cream cheese, and the diced chilies. Continue to whisk until the sauce is thickened.
Remove the sauce from the heat and pour evenly over the enchiladas.
Top with the remaining Cheddar cheese and bake for 22-25 minutes.
Remove from the oven and let rest for 10 minutes. Top with chopped cilantro.
Serve with side dishes of your choice (refried beans and rice will be my choice).