Final answer:
After administering epinephrine to a patient with anaphylaxis, the immediate step is to document the intervention and transport the patient to a medical facility promptly.
Step-by-step explanation:
The patient who was stung by a honeybee and experienced anaphylaxis has improved after receiving oxygen and an epinephrine injection. The correct next step would be to promptly record the time and dose of the injection and transport the patient to the hospital for further evaluation and treatment. While reassessment and airway visualization are important, the immediate need is to ensure that the patient receives comprehensive medical care as soon as possible, given the potential for biphasic reactions where symptoms may recur. It's crucial to notify medical control, but this can occur during or after starting transport. Therefore, the priority is to document the intervention and transport the patient without delay.