Hi Aspirant

As you haven't mentioned your category, I'm assuming it as general.

To get seat in government college you must score 600+ . Although 568 is pretty good score you have chances of getting seat through state quota.

You may get good medical college.

Colleges you may try in Hyderabad:

1. Osmania medical college

2. ESIC medical college

3. Deccan college of medical science

4. Apollo Institute of medical sciences

For more information, you can check this out

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

Hope this information helps

Good luck!