Final answer:
The nurse should most carefully evaluate for a fat embolism within the first 24-48 hours after a fracture due to the risks arising from the clotting process and potential complications from immobility.
Step-by-step explanation:
The nurse needs to most carefully evaluate the patient for the development of a fat embolism during the first 24-48 hours following a fracture. This time frame is critical as it is when the patient is most at risk due to the physiological processes that occur post-fracture. When a bone is fractured, blood from damaged vessels starts to clot and forms a fracture hematoma. The immobilization required during the healing process can lead to complications, including the formation of blood clots that may cause a fat embolism by lodging in the capillaries of the lungs.