Char the poblano pepper over a gas flame or under the broiler until the skin is blistered and blackened, then peel, seed, and dice.
Heat olive oil in a skillet over medium heat and sauté the diced onion until translucent, about 5 minutes.
Stir in the shredded chicken, diced poblano, cumin, garlic powder, sea salt, and black pepper until well combined and fragrant.
In a small bowl, whisk together the Greek yogurt and salsa verde to create a creamy green enchilada sauce.
Lightly warm the corn tortillas, then fill each with the chicken mixture, roll tightly, and place seam-side down in a baking dish.
Pour the creamy green sauce over the tortillas and bake at 375°F for 15 minutes until the sauce is bubbling and the edges are slightly crisp.
Garnish with fresh cilantro before serving.