Preheat the oven to 375°F (190°C) and lightly grease a 9x13-inch baking dish.
In a large bowl, combine the shredded chicken, sour cream, one cup of shredded cheese, chopped cilantro, and a squeeze of fresh lime juice.
Warm the tortillas in a dry skillet or microwave to make them soft and pliable.
Spoon approximately a quarter cup of the chicken mixture down the center of each tortilla, roll them up tightly, and place them seam-side down in the prepared baking dish.
Pour the salsa verde evenly over the rolled enchiladas, ensuring the edges are coated so they do not dry out.
Sprinkle the remaining one cup of cheese evenly over the top.
Bake uncovered for 20 to 25 minutes, or until the sauce is bubbly and the cheese is lightly golden.
Remove from the oven and let rest for 5 minutes. Garnish with sliced radishes and additional cilantro before serving.