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Krṣṇa, the Supreme Personality of Godhead
of a demigod, the objective is actually Krṣṇa, since it is He who empowers the demigods to provide material benefits.
As Rukmiṇī proceeded toward the temple, she was very silent and grave. Her mother and her girl friend were by her side, and the wife of a  brāhmaṇa  was in the center; surrounding her were royal bodyguards. (This custom of a would-be bride going to the temple of a demigod is still practiced in India.) As the procession continued, various musical sounds were heard. Drums, conchshells, and bugles of different sizes such as  paṇavas ,  turyas  and  bheris  combined to make a sound which was not only auspicious but very sweet to hear. There were thousands of wives of respectable  brāhmaṇas  present. These women were all dressed very nicely with suitable ornaments. They presented Rukmiṇī with flower garlands, sandalwood pulp and a variety of colorful garments to assist her in worshiping Lord Śiva and the goddess Durgā. Some of these ladies were very old and knew perfectly well how to chant prayers to the goddess Durgā and Lord Śiva; so, followed by Rukmiṇī and others, they led these prayers before the deity.
Rukmiṇī offered her prayers to the deity by saying, “My dear goddess Durgā, I offer my respectful obeisances unto you as well as to your children.” The goddess Durgā has four famous children: two daughters—the goddess of fortune, Lakṣmī, and the goddess of learning, Sarasvatī—and two famous sons, Lord Gaṇeśa and Lord Kārttikeya. They are all considered to be demigods and goddesses. Since the goddess Durgā is always worshiped along with her famous children, Rukmiṇī specifically offered her respectful obeisances to the deity in that way; however her prayers were different. Ordinary people pray to the goddess Durgā for material wealth, fame, profit, strength and so on; Rukmiṇī, however, desired to have Krṣṇa for her husband and therefore prayed to the deity to be pleased upon her and bless her. Since she desired only Krṣṇa, her worship of the demigods is not condemned. While Rukmiṇī was praying, a variety of items were presented before the deity, chief of which were water, different kinds of flames, incense, garments, garlands and various foodstuffs prepared with ghee, such as  puris  and  kacuris . There were also fruits, sugar cane, betel nuts and spices offered. With great devotion, Rukmiṇī offered them to the deity according to the regulative principles directed by the old  brāhmaṇa  ladies. After this ritualistic ceremony, the ladies offered the remnants of the foodstuffs to Rukmiṇī as  prasādam , which she accepted with great respect. Then Rukmiṇī offered her obeisances to the ladies and to the goddess Durgā. After the business of deity worship was finished, Rukmiṇī caught hold of the hand of one of her girl friends and left the temple, accompanied by the others.