bleeding heart has 3 distinct synonyms spread across 1 of its 2 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
garden plant having deep-pink drooping heart-shaped flowers
someone who is excessively sympathetic toward those who claim to be exploited or underprivileged
Synonyms, antonyms and the broader and narrower relations for bleeding heart come from Princeton University’s WordNet. Full sources and licences.