The “Shrividya” upasana (with its Nava-avaranas,Chakras and various Yoginis) must be referred here.
The jujavanti kriti too, has only general and metaphysical attributes and no references to the Kshetra(Thiruvanaikka – referred to as Samajatavi in Jampupate) or to Jambulingeshwara.
May be the Shrichakras that were installed by Shri Adi Shankara as the ear-ornaments (Tatankas) of Akhilandeshwari, did the trick, transporting MD to another plane!
Another interesting info about Thiruvanaikka (which is now part of Trichy) is that Madurai and Thiruvanaikka are considered the sites of Mantrini and Dandini , who are the Minister and Commander of Shri Lalita Tripurasundari ( actually diff. forms of Herself)