Quick answerStop the infusion and give IM epinephrine.
Why this is correctThe upper-body flushing is a decoy. What decides the answer is what came next: hoarseness and lip swelling (airway) and a 38 mm Hg fall in systolic BP (circulation). Once airway or circulation is involved, the diagnosis is anaphylaxis until proven otherwise, and only epinephrine reverses it.
Easy analogy or mental pictureAn infusion reaction is a sunburn-like flush on the surface; anaphylaxis is the whole house shaking, and only epinephrine holds the walls up.
Memory hookFlush alone = slow it and antihistamine. Flush + airway or BP change = EPI.
NCLEX decision ruleWhen two near-neighbour reactions share a skin finding, let the airway and hemodynamic data decide the first action.
Why the other choices are wrongSlowing the infusion to 2 hours is the standard fix for a vancomycin infusion reaction with skin findings only, which is why it tempts, but it keeps the drug running during anaphylaxis. IV diphenhydramine is appropriate for an infusion reaction and as an anaphylaxis adjunct, but it does not treat airway edema or hypotension. IV methylprednisolone has long been given early in anaphylaxis, yet it takes hours to work and does not replace epinephrine.
References
1StatPearls: AnaphylaxisIM epinephrine is first-line; antihistamines and corticosteroids are adjuncts only
2Resuscitation Council UK: Emergency treatment of anaphylaxisAirway or circulation problems after a trigger indicate anaphylaxis requiring IM adrenaline