A method for operating a wind turbine, an associated wind turbine, and an associated wind park are provided. The wind turbine has a tower with tower loads acting thereon and an aerodynamic rotor which generates a rotor thrust. The method has a step of reducing the rotor thrust. The reduction of the rotor thrust is performed while considering the effect of the reduction of the rotor thrust on the tower loads. Thus, the reduction of the rotor thrust is avoided in cases which result in undesirable or even counter-productive effects on the tower loads.