Final answer:
After performing the head tilt-chin lift maneuver, the next step would be to check for a pulse.
Step-by-step explanation:
After performing the head tilt-chin lift maneuver to open the patient's airway, the next step would be to check for a pulse.
In this scenario, the patient is semiconscious and has cyanosis to her lips, indicating a potential issue with oxygenation. Checking for a pulse will help determine if the patient has a heart rate and if immediate chest compressions are necessary.
Administering oxygen is also an important step, but checking for a pulse takes priority in assessing the patient's condition.