In a large sauté pan or skillet, sauté the poblano peppers on medium heat. Once they begin to soften, add the onions, cooking those for a few minutes. Then, add the garlic to that mix, cooking until it becomes fragrant.
Take ¾ of the pepper, onion, garlic mixture and add it to a blender or food processor.
To the blender, also add the cream cheese, heavy cream, cilantro, cumin, coriander, lime juice, and a healthy pinch of kosher salt and fresh ground pepper. Blend this until smooth and set aside.
While blending the poblano cream sauce, toss the mushrooms into the skillet and let those cook just a few minutes.
Once the mushrooms have softened, remove from the heat and toss in the chicken just to warm through. This is the mixture for the corn tortillas.
Before adding the filled tortillas to the baking dish, spread a small amount of the cream sauce to the bottom. This will help prevent things from sticking.
Carefully, fill the warmed tortillas with a small amount of the chicken mixture and a little shredded cheese. Place the filled tortillas, seam-side down onto a greased 9x13 baking dish. Repeat until you run out of filling and tortillas.
Pour the poblano cream sauce over the top of the rolled tortillas. Top with as much cheese as your heart tells you.
Bake, uncovered, for 20-25 minutes or until the cheese is melted and everything is nice and bubbly.
Serve and enjoy!
Notes
Make sure to warm the corn tortillas before rolling. They will break if they're cold. If you like the cream sauce a little thinner, just add a tablespoon or two of chicken broth or water.