Start by preparing a dressing; whisk all the dressing ingredients to a bowl. Refrigerate until ready to use.
Place the chicken breast in a re-sealable plastic bag. Starting in the center pound with a rolling pin until the chicken is even in thickness.
Preheat the grill over medium-high heat to about 425F.
In a small mixing bowl, combine Italian seasoning, salt, pepper, onion powder, garlic powder, olive oil, and lemon juice.
Next using your clean hands generously rub the seasoning all over the chicken. Place the chicken breast onto the preheated grill.
Grease the grill with a bit of oil and grill the chicken for about 5 minutes each side or until internal temperature reads 165F on an instant-read thermometer.
Meanwhile, prepare veggies, tear the lettuce and dice the avocados. Cut the tomatoes in half and set aside.
For assembling, load the tortillas with lettuce and avocados. Add grilled chicken on top.
Add tomatoes and shredded cheese. Drizzle with the dressing and wrap. Serve immediately.