• nagnajit — Nagnajit
  King of Kośala (the same kingdom over which Rāma once reigned). His name — 'conqueror of the naked / shameless' — suggests dharma's victor. Gauḍīya: this marriage takes Kṛṣṇa into Rāma's old kingdom; the Bhāgavatam threads avatāric continuity.
• kauśalyaḥ — ruler of Kośala (Ayodhyā)
  Of Kośala — the kingdom of Rāmacandra. Gauḍīyas: by marrying the Kośala princess, Kṛṣṇa as the same Bhagavān who was Rāma quietly returns to His old capital, now in a new bridegroom-form.
• ati - dhārmikaḥ — very pious
  Compound ati (very) + dhārmika (righteous). Nagnajit's piety is the verse's first claim about him. Gauḍīya: dharma-niṣṭha households produce kṛṣṇa-niṣṭha daughters.
• satyā — Satyā
  Her primary name — 'the true one'. Truth is her substance, not merely her label. Gauḍīya: a wife of Kṛṣṇa is named for the metaphysical category He embodies (kṛṣṇas tu bhagavān svayam — He is the satyam-param).
• nāgnajitī — Nāgnajitī
  Patronymic — daughter of Nagnajit. The Bhāgavatam stacks her two names: she is the truth and the daughter of the king of dharma. Naming is doctrinal economy.

A pious king's household is a quiet temple — and inside it, a daughter grows whose name, Satyā, is the truth her father has spent his life keeping. Kṛṣṇa marries truthfully into a truthful house.