|Ādi-līlā||Chapter 4: The Confidential Reasons for the Appearance of Śrī Caitanya Mahāprabhu|
Bhaktivedanta VedaBase: Śrī Caitanya Caritāmṛta Ādi 4.172
ataeva gopī-gaṇera nāhi kāma-gandha
kṛṣṇa-sukha lāgi mātra, kṛṣṇa se sambandha
ataeva — therefore; gopī-gaṇera — of the gopīs; nāhi — not; kāma-gandha — the slightest bit of lust; kṛṣṇa-sukha — the happiness of Lord Kṛṣṇa; lāgi — for; mātra — only; kṛṣṇa — Lord Kṛṣṇa; se — that; sambandha — the relationship.
Thus there is not the slightest taint of lust in the gopīs' love. Their relationship with Kṛṣṇa is only for the sake of His enjoyment.
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His Divine Grace A. C. Bhaktivedanta Swami Prabhupāda, Founder Ācārya of the International Society for Krishna Consciousness