In a bowl, toss the chicken strips with olive oil, oregano, garlic powder, salt, and pepper until evenly coated.
Heat a skillet or grill pan over medium-high heat and cook the chicken for 4 to 5 minutes per side until the internal temperature reaches 165°F (74°C).
Lay the tortillas flat on a clean surface and spread 0.25 cup of hummus across the center of each.
Distribute the baby spinach, cucumber slices, cherry tomatoes, and red onion evenly over the hummus layer.
Place the cooked chicken strips on top of the vegetables and sprinkle with crumbled feta cheese.
Fold the left and right sides of the tortilla inward, then roll from the bottom tightly to encapsulate the filling.
Slice diagonally and serve immediately.