Hey there

Seeing your rank it is predictable that you will get a private seat but since the cutoff has increased this year so you will not get top private colleges. Some of the colleges you have chances

Shadan institute of medical sciences Hyderabad. Previous year cutoff was 46028 in gen

Check neet cutoff for telengana

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/articles/neet-cutoff-telangana/amp&ved=2ahUKEwidqs2YydLiAhVC73MBHarBCCAQFjAAegQIAhAB&usg=AOvVaw3KUucUsuyZbRUP2WZVlosW&ampcf=1

Check our college predictor

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/articles/neet-college-predictor/amp&ved=2ahUKEwicsZjVrNLiAhUx8HMBHbtjClwQFjAAegQIBhAB&usg=AOvVaw38Pe-X19VLTTS6dO4yyLxi&ampcf=1

Good luck