The situation of the gopīs is perplexing, for although they did not want personal happiness, it was imposed upon them. The solution to this perplexity is that Śrī Kṛṣṇa's sense of happiness is limited by the happiness of the gopīs. Devotees at Vṛndāvana therefore try to serve the gopīs, namely Rādhārāṇī and Her associates. If one gains the favor of the gopīs, he easily gains the favor of Kṛṣṇa because on the recommendation of the gopīs Kṛṣṇa at once accepts the service of a devotee. Lord Caitanya, therefore, wanted to please the gopīs instead of Kṛṣṇa. But His contemporaries misunderstood Him, and for this reason Lord Caitanya renounced the order of householder life and became a sannyāsī.
(Sri Caitanya Caritamrta----1:4:189----purport).

"The lotus-eyed Rādhārāṇī powerfully condemned the ecstatic love that caused a flow of tears that hindered Her sight of Govinda."
(Sri Caitanya Caritamrta----1:4:203----translation).

Am.ong the gopīs, Śrīmatī Rādhikā is the foremost. She surpasses all in beauty, in good qualities, in good fortune and, above all, in love.
Among all the gopīs, Śrīmatī Rādhārāṇī is the most exalted. She is the most beautiful, the most qualified and, above all, the greatest lover of Kṛṣṇa.
(Sri Caitanya Caritamrta----1:4:214----translation and purport).

"Just as Rādhā is dear to Lord Kṛsṇa, so Her bathing place (Rādhā-kuṇḍa) is dear to Him. She alone is His most beloved of all the gopīs."
(Sri Caitanya Caritamrta----1:4:215----translation).

"O Pārtha, in all the three planetary systems, this earth is especially fortunate, for on earth is the town of Vṛndāvana. And there the gopīs are especially glorious because among them is My Śrīmatī Rādhārāṇī."
(Sri Caitanya Caritamrta----1:4:216----translation).

All the other gopīs help increase the joy of Kṛṣṇa's pastimes with Rādhārāṇī. The gopīs act as the instruments of Their mutual enjoyment.
It is said that the gopīs are divided into five groups, namely the sakhīs, nitya-sakhīs, prāṇa-sakhīs, priya-sakhīs and parama-preṣṭha-sakhīs. All these fair-complexioned associates of ŚrīmatīRādhārāṇī, the Queen of Vṛndāvana-dhāma, are expert artists in evoking erotic sentiments in Kṛṣṇa. The parama-preṣṭha-sakhīs are eight in number, and in the ecstatic dealings of Kṛṣṇa and Rādhā they side sometimes with Kṛṣṇa and at other times with Rādhārāṇī, just to create a situation in which it appears that they favor one against the other. That makes the exchange of mellows more palatable.
(Sri Caitanya Caritamrta----1:4:217----translation and purport).

Rādhā is the beloved consort of Kṛṣṇa, and She is the wealth of His life. Without Her, the gopīs cannot give Him pleasure.
(Sri Caitanya Caritamrta----1:4:218----translation).

Lord Caitanya appeared with the sentiment of Rādhā. He preached the dharma of this age—the chanting of the holy name and pure love of God.
(Sri Caitanya Caritamrta----1:4:220----translation).

In the mood of Śrīmatī Rādhārāṇī, He also fulfilled His own desires. This is the principal reason for His appearance.
(Sri Caitanya Caritamrta----1:4:221----translation).

“Desiring to understand the glory of Rādhārāṇī’s love, the wonderful qualities in Him that She alone relishes through Her love, and the happiness She feels when She realizes the sweetness of His love, the Supreme Lord Hari, richly endowed with Her emotions, appeared from the womb of Śrīmatī Śacī-devī, as the moon appeared from the ocean.”
(Sri Caitanya Caritamrta----1:4:230----translation).

“One more qualified than Me is impossible to find in the world. But in Rādhā alone I feel the presence of one who can give Me pleasure.
(Sri Caitanya Caritamrta----1:4:241----translation).

Although My beauty defeats the beauty of ten million Cupids, although it is unequaled and unsurpassed, and although it gives pleasure to the three worlds, seeing Rādhārāṇī gives pleasure to My eyes.
(Sri Caitanya Caritamrta----1:4:242-243----translation).

The vibration of My transcendental flute attracts the three worlds, but My ears are enchanted by the sweet words of Śrīmatī Rādhārāṇī.
(Sri Caitanya Caritamrta----1:4:244----translation).

Although My body lends fragrance to the entire creation, the scent of Rādhārāṇī’s limbs captivates My mind and heart.
(Sri Caitanya Caritamrta----1:4:245----translation).

Although the entire creation is full of different tastes because of Me, I am charmed by the nectarean taste of the lips of Śrīmatī Rādhārāṇī.
And although My touch is cooler than ten million moons, I am refreshed by the touch of Śrīmatī Rādhikā.
Thus although I am the source of happiness for the entire world, the beauty and attributes of Śrī Rādhikā are My life and soul.
In this way My affectionate feelings for Śrīmatī Rādhārāṇī may be understood, but on analysis I find them contradictory.
My eyes are fully satisfied when I look upon Śrīmatī Rādhārāṇī, but by looking upon Me, She becomes even more advanced in satisfaction.
The flutelike murmur of the bamboos rubbing against one another steals Rādhārāṇī’s consciousness, for She thinks it to be the sound of My flute. And She embraces a tamāla tree, mistaking it for Me.
(Sri Caitanya Caritamrta----1:4:246-251----translation).

The happiness I feel when meeting Rādhārāṇī is a hundred times greater than the happiness I get from meeting others.
"My dear auspicious Rādhārāṇī, Your body is the source of all beauty. Your red lips are softer than the sense of immortal sweetness, Your face bears the aroma of a lotus flower, Your sweet words defeat the vibrations of the cuckoo, and Your limbs are cooler than the pulp of sandalwood. All My transcendental senses are overwhelmed in ecstatic pleasure by tasting You, who are completely decorated by beautiful qualities."
"Her eyes are enchanted by the beauty of Lord Kṛṣṇa, the enemy of Kaṁsa. Her body thrills in pleasure at His touch. Her ears are always attracted to His sweet voice, Her nostrils are enchanted by His fragrance, and Her tongue hankers for the nectar of His soft lips. She hangs down her lotuslike face, exercising self-control only by pretense, but She cannot help showing the external signs of Her spontaneous love for Lord Kṛṣṇa."
Considering this, I can understand that some unknown mellow in Me controls the entire existence of My captivator, Śrīmatī Rādhārāṇī.
I am always eager to taste the joy that Rādhārāṇī derives from Me.
(Sri Caitanya Caritamrta----1:4:258-262----translation).

Unless I accept the luster of the ecstatic love of Śrī Rādhikā, these three desires cannot be fulfilled.
“Therefore, assuming Rādhārāṇī’s sentiments and bodily complexion, I shall descend to fulfill these three desires.”
(Sri Caitanya Caritamrta----1:4:267-268----translation).