Frame the question around cardiac safety: which uterotonic most threatens a failing heart? Rank the agents by their effect on the circulation. Oxytocin in controlled infusion has modest cardiovascular impact, and the prostaglandins carboprost and misoprostol act mainly on uterine tone, so all three can be used with care to control postpartum bleeding. The ergot alkaloid methylergometrine is different: it produces intense systemic vasoconstriction and a sharp pressor response, abruptly loading an already compromised heart and risking decompensation. For that reason it is specifically avoided in women with heart disease (and in hypertensive disorders). The drug that should not be given is the ergot agent.
\[\boxed{\text{Methylergometrine}}\]