Pat the diced chicken dry and season evenly with 1/4 teaspoon sea salt and 1/4 teaspoon black pepper.
Heat a skillet over medium-high heat. Add the 1/2 tablespoon olive oil; when hot, add the seasoned chicken and cook, stirring occasionally, until fully cooked through, about 6–8 minutes. Confirm the chicken reaches an internal temperature of 165°F (74°C).
Remove the chicken from the heat and toss it with 1/4 cup of the buffalo sauce. Set the sauced chicken aside.
Lay one 10-inch tortilla flat. Cut one straight line from the center of the tortilla to the outer edge to create four quarters. Repeat for the second tortilla.
Divide the remaining ingredients evenly between the two tortillas: split the 1/4 cup light cream cheese (about 2 tablespoons per tortilla), the 1/4 cup blue cheese (about 2 tablespoons per tortilla), the 1/2 cup chopped baby spinach (about 1/4 cup per tortilla), the cooked buffalo chicken (half the chicken on each tortilla), and the remaining 1/4 cup buffalo sauce (2 tablespoons per tortilla).
On each tortilla, use the cut as a reference and spread the cream cheese on the quarter immediately next to the cut.
Place half of the buffalo chicken (including some of its sauce) on the next quarter clockwise from the cream cheese.
Spread the blue cheese on the next quarter, then top that blue-cheese quarter with the chopped spinach.
Drizzle the final quarter of each tortilla with the remaining 2 tablespoons of buffalo sauce.
Fold each tortilla into a triangle pocket: fold the cream-cheese quarter (the one next to the cut) over the chicken quarter, then fold that layered triangle over the blue-cheese/spinach quarter, and finally fold that over the sauced quarter so all fillings are enclosed in a triangular pocket. Press gently to hold the shape.
Heat a clean skillet over medium heat. Place each folded wrap seam-side down and cook 1–3 minutes per side, pressing lightly with a spatula, until the tortilla is heated through and crisped to your liking. Remove and serve.