Hello, 

That's a decent score. So congratulations to your first of all for that score. 

Looks a little tentative dear. The cutoff last year for All India Quota into Kilpauk Medical college ended at 554. But as you would be knowing the cutoff is expected to rise this year as the number of candidates had increased and also the paper level was declared easy comparative to the previous years. So the cutoff this year in Kilpauk Medical college is predicted this year to be 565. And you seem just close to it but not par. 

You can refer to this link for more information.. 

https://medicine.careers360.com/articles/neet-cutoff-tamil-nadu/amp#referrer=https://www.google.com

If you want to get a seat in Tamil Nadu state itself, then you can try for GMC Vellore or Tirunelveli as your marks seem enough to get admission in those colleges. 

All the best to you. 

Thankyou.