Final answer:
The correct way to remove a wedged suture from a needle is by using mayo scissors, which are specifically designed for such tasks in a sterile medical environment.
Step-by-step explanation:
The wedged on suture is removed from a needle by using a mayo scissor. It is important for medical personnel to handle the needle and suture safely to prevent injury and maintain a sterile environment. Mayo scissors are designed with rounded, blunt tips which make them suitable for cutting sutures without the risk of poking or slicing tissue inadvertently. Thus, they are the proper instrument for the task.