• ari — of his enemy
  Bhāgavata-Sanskrit for 'enemy.' Parīkṣit calls Kṛṣṇa Rukmī's ari — not his own view, but Rukmī's. The verse reports the inner state of the antagonist faithfully.
• paribhūtaḥ — defeated
  pari + bhūta, 'overcome on all sides.' Used for crushing defeat, not mere loss in skirmish. The word preserves the depth of Rukmī's humiliation.
• randhram — the opportunity, the loophole
  Literally 'a hole, an opening.' Used in nīti-śāstra for the weak point one watches for in an enemy. Rukmī's whole post-defeat life is described by this one word — a man waiting at a keyhole.
• dviṣoḥ — of the two enemies
  Dual genitive of dviṣ. The verse calls Kṛṣṇa and Rukmī 'the two enemies' from Rukmī's perspective. The Bhāgavata is honest about the asymmetry: Kṛṣṇa bears no enmity, but the word fits Rukmī's heart.
• vaivāhikam — the marital arrangement
  From vivāha, 'marriage.' The verse pivots on the paradox: vaivāhika (binding-together-in-marriage) is the very name for the union of those who, by Rukmī's reckoning, should never be united.

• What hard question about my spiritual life am I avoiding asking?
• Who in my world models the courage to seek truth even when it troubles me?

Like a stone in a stream that the water finally goes around, Rukmī's hatred has not melted — it has merely been routed by the current of his sister's affection, and Parīkṣit asks how such a stone could ever yield to give a daughter to its enemy.