The correct answer is C) Apply a pressure bandage over the dressing. After severe bleeding has been controlled by using a sterile dressing and direct pressure, the next step is to apply a pressure bandage over the dressing. This helps maintain the pressure on the wound to prevent the bleeding from restarting. Applying a pressure bandage is the recommended course of action according to standard first aid protocols. The other options are incorrect because: A) Removing foreign matter and applying antiseptic should be done after the bleeding is controlled, not before. B) Administering fluids is not the immediate next step after controlling the bleeding. D) Applying a tourniquet should only be done if direct pressure cannot control the bleeding, which is not the case here.