Final answer:
An elderly client with a fractured hip is most likely to exhibit pain and disalignment of the leg. These symptoms are due to the severe discomfort caused by the fracture and potential changes in the leg's positioning.
Step-by-step explanation:
The symptom most likely to exhibit in an elderly client with a fractured hip is pain. This is because a fracture in the hip often results in immediate and severe discomfort, which may worsen with movement or when pressure is applied to the area. In addition to pain, the affected individual may also present with disalignment of the leg. The hip may appear shorter or turned outward, depending on the nature of the fracture. While cool extremities and absence of pedal pulses could be associated with vascular injuries or complications, they are not the most common presentations of a hip fracture.