Final answer:
In the context of deep vein thrombosis, a respiratory rate of 32 warrants immediate attention because it suggests a potential pulmonary embolism, which is an emergency situation.
Step-by-step explanation:
The nurse caring for a client with deep vein thrombosis (DVT) should give immediate attention to finding C) a respiratory rate of 32. A respiratory rate significantly higher than the normal range of 12-18 breaths per minute could indicate a serious condition, such as a pulmonary embolism, which is a common and potentially life-threatening complication of DVT when a clot breaks loose and travels to the lungs. While a temperature of 102 degrees Fahrenheit is also a concern, it is the elevated respiratory rate that is the most pressing, given the immediate risk associated with pulmonary embolism.