In plain words
This does not happen through anyone. No one is the doer. Kṛṣṇa alone is the doer of all. The enjoyer. In the actions of the world, the doer, the deed and the doing may be separate. Of death the doer is God alone. The deed is God alone. The doing is God alone. All of it is His will alone. The one who gave is He; the one who took is He. Padmā has gone back to the very place she came from. In this kind of jōṃllō he was writing a song. The king watched. 'Not by words alone but by deeds too Jayadeva is proving the truth,' he thought. He is manassaikaṃ, vacassaikaṃ, karmakṣaikaṃ mahātmanām. 'Is there a great soul greater than he?' he kept extolling Jayadeva. In Jayadeva, wherever one looked, selfishness, craving for the fruit, Ahaṅkāra … in him. Where there is Ahaṅkāra, there is show. Where there is show, there is unrest. He had no Ahaṅkāra at all. Show he had even less. Unrest does not even look his way. It is far from him. 'O Kṛṣṇa … O Jayadeva! How happy Padmāvatī would have been if she were alive!' said King Lakṣmaṇasena, and he asked him to sing that song once more. The inner meaning of that song was this: 'Padmāvatī! Life is a stream; … in the stream two logs called you and I came floating along. For a while the two … in this stream. Then each lets go of the other and goes its way. This is the nature of a stream. We came together; … to meet again is rare.' As he sang this song and spoke the very last word, 'rare', Padmāvatī rose, blinking her eyes. Lakṣmaṇasena saw that sight. 'Ah! What more divine a sight could one want than this! God yields to Bhakti. That is why God has the name Bhaktaparādhīn…. O Bhaktaparādhīna! How pure is this Jayadeva's heart! How selfless! Such a supreme devotee is rare in this world. Jagannātha Himself dwells in Jayadeva's heart. The body is Jayadeva's body. The heart is Jagannātha. This body is the kṣetra. Jagannātha is the kṣetrajña.
Those who, with the eye of Jñāna, know thus the difference between the kṣetra and the kṣetrajña, and the release of beings from Prakṛti, they reach the Supreme.'
… the king sang the essence of the Bhagavad Gītā. The king and the queen … the two of them in a procession of great splendour. They rejoiced that it had fallen to them in their life to serve such supreme devotees.
In this way Jayadeva's story and his songs spread. In the land of Vaṅga there was a king. That king too was a great poet. He too was a devotee of Jagannātha. Being a devotee of Jagannātha, he went on writing … songs.