Warm tortilla in a large skillet over medium heat.
Melt coconut oil in a separate skillet over medium-high heat. Saute spinach and tomato in hot oil until spinach wilts, about 1 minute. Add eggs and scramble until almost set, about 2 minutes. Sprinkle feta cheese over eggs and continue cooking until cheese melts, about 1 minute more.
Transfer scrambled egg mixture to warm tortilla in the large skillet; top with diced tomato. Roll tortilla and leave in skillet long enough for wrap to hold its shape, about 30 seconds.