In a separate bowl, combine 1 tablespoon olive oil, juice of 1/2 lime, chili powder, paprika, onion powder, pepper, cumin and salt. Cut chicken into strips and toss with the spice mixture.
Preheat 1 tablespoon olive oil over medium high. Add 1/2 of the chicken and cook until just cooked, about 3-5 minutes. Remove from pan and set aside. Repeat with remaining chicken.
Set chicken aside and add 1 tablespoon oil to the pan. Drain onions well and cook 2 minutes. Add in sliced peppers and cook an additional 2 minutes or just until hot. Add chicken back to the pan and stir to combine.
Squeeze additional lime overtop and serve over tortillas.
Optional: If I am serving these to kids, I find soaking the onions in cold water for a bit takes a bit of the "bite" out of them.