Final answer:
The statement "My throat feels scratchy" requires immediate follow-up by the nurse as it may indicate an allergic reaction to the medication, which can be life-threatening.
Step-by-step explanation:
The nurse is monitoring a client who received the first dose of a newly prescribed medication. Among the statements made by the client, the one that requires immediate follow-up by the nurse is "My throat feels scratchy." This comment can be indicative of an allergic reaction to the medication, such as anaphylaxis, which can be potentially life-threatening.
Prompt assessment and intervention are critical when signs of a possible allergic reaction are presented. Symptoms such as itchiness, swelling, or breathing difficulties underscore the urgency for follow-up. In contrast, statements like "My pain is the same," "I need to go to the bathroom," or "I would like a glass of water" do not suggest an immediate adverse reaction to the medication and are considered normal patient requests or responses.