Final answer:
Epinephrine via intravenous route is the medication that the nurse should anticipate administering to a client who has been stung by a bee and is experiencing difficulty breathing and swelling of the tongue.
Step-by-step explanation:
The medication that the nurse should anticipate administering to a client who has been stung by a bee and is experiencing difficulty breathing and swelling of the tongue is epinephrine via the intravenous route. Epinephrine is the medication of choice for treating severe allergic reactions, known as anaphylaxis. It constricts blood vessels, relaxes smooth muscles, modulates heart rate, and reduces swelling, effectively counteracting the allergic reaction. In this situation, epinephrine can help prevent suffocation and provide immediate relief to the client.