Whisk together seasonings in a medium bowl. Add chicken and turn to coat.
Stir sour cream, jalapeño, feta, and lime juice in a small bowl to make feta crema.
Heat oil over medium-high heat in a large frying pan and cook chicken until browned and cooked through, turning pieces occasionally, about 7 minutes. Add tomatoes and onions to pan with a squeeze of lime and stir to blend.
Divide chicken mixture among tortillas, top with cabbage and cilantro, then feta crema. Wrap up burrito-style and serve with more lime wedges.