Make a small cut from the edge of the tortilla to the center (cutting through only one half of the radius).
Visualize the tortilla as divided into four quarters. Starting with the quarter with the cut line as one of its boundaries, fold this section over the adjacent quarter.
Continue folding in a clockwise (or counter-clockwise) direction, creating a layered triangular shape.
Heat the olive oil in a skillet over medium heat. Place the folded wrap seam-side down and cook for 2-3 minutes until golden and crisp.
Flip carefully and cook the other side for an additional 2 minutes.
Transfer to a cutting board, cut in half if desired, and garnish with additional fresh dill.
Serve immediately with lemon wedges on the side.