• indram — the chief
  Accusative of indra — chief, ruler. Kāliya was the indra of serpents; the title underscores that Kṛṣṇa addresses the head, not the rank-and-file. Vraja-līlā teaches: meet the root of evil at the root.
• damitvā — subduing
  Gerund of √dam — to discipline. Kṛṣṇa's relation to enmity is damana, not destruction; He chastens and releases. Kāliya departs alive, his pride gone, the kalpa-tree of his bondage uprooted.
• vimadam — whose pride was removed
  Vi (without) + mada (intoxication, pride). The exact word — pride is the only real poison; Kṛṣṇa's foot on the hood is mada-bhañjana, the breaking of intoxication.
• yamunām — the river Yamunā
  Yamunā — daughter of Sūrya, sister of Yama. Gauḻīyas worship her as a goddess and as Kṛṣṇa's beloved tīrtha — the river that bears His pastimes downstream still.
• nirviṣa — free from poison
  Nir (without) + viṣa (poison). Restored Yamunā is the chapter's running metaphor — the heart's river cleansed by His feet. The Bhāgavatam uses nirviṣa elsewhere for the cleansed mind in which Kṛṣṇa-līlā can be remembered.

• UM SB 10-26-12 - Kaliya - 2021-06-15 Hillsborough
  Her Grace Urmila Mataji· 2021-06-15· English

• Which 'river' in my life is awaiting full restoration after a serpent's removal?
• Where am I treating the threat-end as the full work when restoration is still pending?

A river of poison runs through your village, killing birds in mid-flight — until a small boy descends into its depths and dances on the head of the serpent that lives there, until the serpent bows. The Yamunā that the gopīs now bathe in flows clean because a seven-year-old made a stage of a snake's hood.