Hi!

The score you got is little marginal for government medical college. You got a NEET UG rank in span 33073 - 35073. It would be better if you have told which state you are from for state quota counselling. However from previous cut off marks you may look for a seat in Hamdard Institute of Medical Sciences and Research - New Delhi,  Mahatma Gandhi Mission's Medical College - Aurangabad or  Sri Ramachandra Medical College - Chennai. Cut off marks are uncertain every year due to seat availabilty, candidates number.

You can get help by informed counsellling here for college and branch - https://medicine.careers360.com/neet-college-predictor