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svayaṁ ca tad-anujñātā
Word for word:
svayam — themselves; ca — and; tat — by Him (Lord Kṛṣṇa); anujñātāḥ — given permission; vṛṣṇayaḥ — the Vṛṣṇis; kṛṣṇa — Lord Kṛṣṇa; devatāḥ — whose exclusive Deity; bhuktvā — eating; upaviviśuḥ — sat down; kāmam — at will; snigdha — cool; chāyā — whose shade; aṅghripa — of trees; aṅghriṣu — at the feet.
Then, with the permission of Lord Kṛṣṇa, their sole object of worship, the Vṛṣṇis ate breakfast and sat down at their leisure beneath trees that gave cooling shade.