Place all the dressing ingredients in a bowl and whisk until combined. Refrigerate until ready to serve.
To make the salad toss the lettuce, pepper rings, onion, cucumber, and artichokes in a large bowl. Set aside.
Heat a saute pan over medium high heat and add 1 tablespoon olive oil.
Sprinkle the chicken with oregano, garlic, salt, and pepper.
Place the chicken in the pan and cook for 5 minutes per side or until cooked through.
Remove the chicken from the pan and cut into strips.
Divide the lettuce between 4 plates. Arrange the chicken on top of the salads along with feta cheese. Cut each pita into 8 triangles and place around the salads.
Serve with the creamy dressing.