A bench comprising Chief Justice Dipak Misra and justices Amitava Roy and A M Khanwilkar refused an urgent hearing on the plea.
The 17-year-old girl had committed suicide on September 1, a week after Supreme Court ruled that medical college admissions in Tamil Nadu will be based on the national admission test.
The PIL has also sought steps by the Tamil Nadu government to maintain law and order and ensure that protests over Anitha's death do not disrupt normal life.