yadyapi - although; antare - within the heart; kṛṣṇa-viyoga - separation from Kṛṣṇa; bādhaye - obstructs; bāhire - externally; nā prakāśaya - does not exhibit; bhakta-duḥkha-bhaye - fearing the unhappiness of the devotees.

Although Śrī Caitanya Mahāprabhu felt pangs of separation from Kṛṣṇa, He did not manifest His feelings externally, for He feared the unhappiness of His devotees.