Final answer:
The primary intervention for VTE prophylaxis in a high-risk patient like Mrs. Paul is the application of sequential compression devices.
Step-by-step explanation:
The priority evidence-based perianesthesia nursing intervention for VTE prophylaxis with Mrs. Paul is d) Applying sequential compression devices. Sequential compression devices (SCDs) are an effective mechanical method for preventing venous thromboembolism, especially in high-risk patients like Mrs. Paul. SCDs help by promoting blood circulation through the veins of the legs, thereby reducing the risk of clot formation. Prophylactic antibiotics are not directly related to VTE prevention, placing a urinary catheter does not prevent VTE, and while ensuring adequate pain management is important for overall care, it is not the primary intervention for VTE prophylaxis.