Heat olive oil in a large nonstick skillet over medium-high heat.
Add chicken; cook 5 minutes on each side or until done.
Remove the chicken from the pan; cool. Shred the chicken into bite-sized pieces.
Place chicken, cucumber and bell pepper in a large bowl; set aside.
Place sugar and the next 6 ingredients (sugar through ground red pepper) in a blender and process till smooth.
Add peanut butter and water; process till smooth, scraping the sides.
Add peanut butter mixture to chicken mixture; stir well.
Add cilantro and toss well. Warm tortillas according to package directions.
Spoon 1/2 cup chicken mixture onto each tortilla; top each serving with 1/2 cup lettuce and roll up.