The correct answer is A) hydraulic deck stopper. A hydraulic deck stopper is the safest device to secure the end of the pendant wire when it is initially passed to the anchor handling vessel. This is because a hydraulic deck stopper can securely grip and hold the pendant wire, preventing it from slipping or coming loose during the anchor handling operation. The other options, such as a pelican hook, connecting link, or shackle, are not as reliable or secure for this specific task. The use of a hydraulic deck stopper is a common practice in the offshore oil and gas industry, where anchor handling operations are frequently performed. This technique helps to ensure the safety and stability of the anchor handling process, which is crucial for the safety of the crew and the successful completion of the operation.