Heat air fryer to 350° F.
Using a good pair of scissors, cut down the center of the turkey to separate the 2 breasts. Note: if you have a large air fryer, you may be able to keep the entire turkey breast intact.
Rub olive oil all over turkey breast. In a small bowl, combine chopped herbs, salt, and pepper. Rub herb mixture over the turkey breast.
Transfer one of the halves to the air fryer and cook for about 20 minutes. Turn the breast over and cook for an additional 15 minutes. While the turkey is cooking, combine butter, honey, and mustard in a small saucepan over medium heat. Once butter has melted, whisk to combine. At this point, brush the entire breast with honey mustard glaze and return to air fryer for an additional 5-10 minutes until browned and crispy, and the internal temperature is 165°F.
Repeat with the second half of the turkey breast.
Loosely cover the turkey breasts with aluminum foil for 5-10 minutes before slicing and serving.