When should a hyperthermic patient with moist, pale skin be transported?

Transporting a hyperthermic patient with moist, pale skin is critical when their temperature is continuously rising. This is because a progressively increasing temperature indicates that the patient's condition is worsening and may lead to severe complications, such as heat exhaustion or heat stroke. Continuous elevation of body temperature can overwhelm the body's thermoregulatory capacity, leading to potential organ dysfunction or failure.

In this context, timely intervention and transfer to a medical facility are essential to provide immediate care and prevent further deterioration of the patient's health. While other signs and symptoms, such as nausea or a temperature reading above 99°F, are important, the urgency to transport is primarily justified by a temperature that keeps rising, indicating an escalating emergency situation.