Bhagavan Jagannath, Sri Balabhadra and Maa Subhadra are tantric deities approved by
Udra Tantras. There is specialty in construction of the deities in tantric
method for
which trinity are showed as male and female. Trinity are Brahma, Vishnu and
Maheshwara and also Bhuvaneswari, Dakshina Kali and Tara respectively.
In Tantra Shastra, it is mentioned that
Tara sakshat Sulapani
Subhadra Bhuvaneswari, Niladrau to
Jagannath Sakshyt Dakhinakalika
That means Balabhadra is treated as Shiva (male) and Tara (female). Like that Sri Jagannath is treated as Vishnu (male) and Dakhinakali (female) and Subhadra is treated as Brahma (male) and Bhuvaneswari (female).
Odisha, in the old age, was called as Udra Desh. Udra-tantra
was famous in Udra Desh and so it was called as Udra tantra. "Tanyate Bistaryate
anena iti tantram."
Tantric ethics in India as well as Odisha were preserved in Tala leaves.
Panchasakhas described Sri Jagannath as tantric deity. Maa Subhadra is described in Skanda Purana as Bhadrakali.
“Jai Bhadre Subhadre twam
Sarbesham Bhadradayini
Bhadra bhadra swarupa twam
Bhadrakali Namastute”. (Uttarakhanda)