Lord Ranganatha Swamy appeared in the chief priest' dreams and pronounced that he had now taken Surathani (derived from Sultani) to be his wife and she too had to be given all the temple honors and worship that were given to the other Nachiyars (Nachiyar is a term used in Tamil Vaishnava theology for the divine consort of the presiding deity)/consorts. The Bhattar then conveyed this dream to the temple authorities and, accordingly, a shrine was built for the Muslim consort of Lord Ranganatha.
The Muslim princess not only had gained divinity through her deep devotion but also the status of Lord's consort. Idol worship in Islam is a taboo, so, she was worshipped in the form of a painting, richly decorated with gems and gold and still regular pujas and other rituals are held to day. The daily naivaidhyam (divine food) will include chappathis, butter, etc, traditional North Indian food.
It looks like she is maintaining her Muslim identity, since an idol has not been made for her.
And apparently Lakshmi took this seriously
Terribly upset over Lord accepting the Muslim woman as his consort, Ranganayaki Thayyar (goddess), Lords consort moved away from him in anger and rage. Hence, there is a separate shrine for Thayyar. In the recent Samprokshanam held at Srirangam temple on the 18th of November, 2015, a separate Yagasala and Agni Kundams were arranged on the premises of Thayyar Sannidhi (shrine) as she is ''Padi Thaanda Pathini.'' Tradition has it that Goddess Ranganayaki has never come out of the shrine after Lord's acceptance of Surathani. Lord made several vein attempts to make a compromise with Thayyar but it never worked out.
Is this all at the folklore level or is there any scriptural support?