the.com/bleeding heart

means A person viewed as excessively, sometimes impractically, sympathetic toward others' suffering, especially in matters of politics or charity.

from The phrase borrows from a real flower — the dicentra plant, nicknamed 'bleeding heart' for its droopy, heart-shaped blossoms that look like they're weeping a drop of red. As political slang, 'bleeding heart' turned bitter in mid-20th-century America, used by critics (famously popularized around opposition to liberal welfare policies) to mock those seen as sentimentally, naively generous. The heart imagery already meant 'compassion' for centuries — the 'bleeding' part just pushed it from virtue into caricature.