Whisk all spread ingredients together until smooth. Taste and adjust until creamy, tangy, and boldly seasoned.
Slice the avocado thinly and season immediately with salt and a squeeze of lemon juice.
Warm tortillas in a dry pan for 20 to 30 seconds per side or microwave for 20 seconds until pliable.
Spread the mayonnaise mixture generously across the entire surface of each tortilla right to the edges.
Layer cheese first if using, then lettuce directly on the spread as a moisture barrier.
Layer turkey evenly across the lettuce with full coverage rather than piling in one spot.
Arrange avocado, tomato, cucumber, and red onion over the turkey. Season the vegetable layer lightly with salt and pepper.
Add any optional extras at this stage.
Fold sides in firmly, then roll forward tightly, maintaining tension throughout the roll.
Cut diagonally with one confident downward motion. Serve immediately or wrap in parchment paper.