Rub the chicken breast with 0.5 tbsp of avocado oil, garlic powder, sea salt, and black pepper.
Place the chicken in the air fryer basket and cook at 375°F for 12-15 minutes, or until the internal temperature reaches 165°F.
While the chicken is cooking, prepare the dressing by whisking together the Greek yogurt, lemon juice, Dijon mustard, honey, anchovy paste, parmesan cheese, and the remaining 0.5 tbsp of avocado oil in a small bowl.
Remove the chicken from the air fryer and let it rest for 5 minutes before using two forks to shred it into bite-sized pieces.
In a large mixing bowl, combine the shredded chicken, chopped romaine lettuce, sliced red onion, and croutons.
Pour the sweet Caesar dressing over the salad mixture and toss thoroughly until everything is evenly coated.
Lay the low-carb tortillas flat, distribute the chicken Caesar mixture evenly between them, and roll them up tightly to serve.