With this state rank you can easily get the govt. seat in kerala through the state counselling. The cutoff marks for the govt. medical college in kerala were 558 with the rank 6014 in T D medical college, Alappuzha. So you can apply for the state counselling and then you will be able to get the seat in kerala. The link is given below for the more information about the cutoff marks for the various govt. and private colleges in kerala.

https://medicine.careers360.com/articles/neet-cutoff-kerala