Bring salted water to a boil in a pot. Cook the cheese tortellini per package instructions (fresh usually 3–5 minutes, frozen 7–10). Then drain and set aside.
In a large skillet over medium-high heat, brown the ground chicken until fully cooked. Stir in the taco seasoning and both cans of fire-roasted tomatoes (with their juices), letting it simmer for a few minutes.
Add the drained tortellini into the skillet with the meat mixture. Stir in the shredded cheese and a squeeze of lime juice. Cover until the cheese melts and everything is warmed through. Garnish with cilantro or parsley and serve.