Preheat your air fryer to 375°F.
Rub the chicken breast with 1 teaspoon of avocado oil, garlic powder, sea salt, and black pepper until evenly coated.
Place the chicken in the air fryer basket and cook for 12-15 minutes, or until the internal temperature reaches 165°F.
Remove the chicken from the air fryer and use two forks to shred it into bite-sized pieces while it is still warm.
In a large mixing bowl, whisk together the Greek yogurt, 0.5 tablespoon of avocado oil, lemon juice, Dijon mustard, minced garlic, and grated parmesan cheese until smooth.
Add the shredded chicken, chopped romaine lettuce, and thinly sliced red onion to the bowl and toss until everything is thoroughly coated in the dressing.
Lay the low-carb tortillas flat on a clean surface and divide the chicken Caesar mixture evenly between them.
Roll the tortillas tightly, tucking in the ends, and serve immediately for the best texture.