Slice the chicken breast into thin strips and season evenly with dried oregano, sea salt, and black pepper.
Heat the olive oil in a non-stick skillet over medium-high heat.
Sauté the chicken strips for 5 to 7 minutes, stirring occasionally, until they are golden brown and fully cooked through.
Drizzle the lemon juice over the cooked chicken and remove the skillet from the heat.
Lay the whole wheat tortilla flat on a clean surface and spread the hummus across the center, leaving a small border around the edges.
Layer the baby spinach, diced cucumber, diced tomato, and minced red onion on top of the hummus.
Place the warm chicken strips over the vegetables and sprinkle with the crumbled feta cheese.
Fold the left and right sides of the tortilla inward, then roll from the bottom up tightly to secure the wrap.