an athlete hurts their wrist they put ice on the wrist in which direction is the thermal energy moving

there is no thermal energy in this scenario
the thermal energy is moving from the ice pack to the wrist
the thermal energy is moving from the ice pack to the air around their wrist
the thermal energy is moving from the wrist to the ice pack

In this scenario, the athlete puts ice on their injured wrist to provide cold therapy and reduce inflammation. The ice pack is colder than the wrist, so thermal energy will flow from the area with higher temperature (the wrist) to the area with lower temperature (the ice pack). Therefore, the thermal energy is moving from the wrist to the ice pack.