Dear student, congratulations that you secured 563 in neet. Any rank below 24k in considered to be good. So, technically you are below that so I would suggest you to definitely go to the all India counselling. And if you still doubts then I'll give you a link, kindly apply it and you can roughly predict the colleges you will get into-

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