Which of the following is NOT a contraindication for administering morphine and fentanyl?

Administering morphine and fentanyl can be problematic in various clinical conditions due to their potential respiratory depressant effects and impacts on hemodynamics.

Respiratory distress, unconsciousness, and hypovolemic shock are all contexts where administering opioids like morphine and fentanyl poses significant risks. In respiratory distress, these drugs could exacerbate breathing difficulties. In the case of unconsciousness, the patient's ability to protect their airway is compromised, increasing the danger of respiratory depression and potential aspiration. Hypovolemic shock involves reduced blood volume and can lead to decreased blood pressure; opioids can further lower blood pressure, worsening the clinical state.

In contrast, a minor headache does not typically present a significant contraindication for opioid administration. While it's essential to assess the overall clinical picture, a minor headache alone generally does not carry the severe risks associated with the other conditions listed. Therefore, this option is the most appropriate choice when identifying a situation where morphine and fentanyl could be administered without exacerbating a serious condition.