Heat a large nonstick frying pan over medium heat; add bacon. Cook, turning often, until bacon is crispy, 6-8 minutes. Drain on kitchen paper, and set aside.
Arrange wraps on a clean work surface. Place 1/4 of the cheese and turkey slices in the center of each wrap. Top turkey with 1/4 of the apple slices, 1 piece of bacon each and 1/4 of the salad greens. Roll wraps, folding in sides, to enclose filling.