Dear student,

As you have secured AIR 450000 rank from in jee mains and secured 86 percentile in obc category, then there is no chance for you to get nit trichy.
It doesn't matter that you belong from home state quota and you are a female.
With this much huge AIR rank you cannot get any nits, not even from your home state quota.
As this year the seats are increased but still nit trichy is a top nit and with this much huge rank you can't get nit trichy.

So, it is advisable that you go for some other private colleges which accepts low jee mains rank.

Also check out our jee mains college predictor tool to get an appropriate idea of colleges that you can get on the basis of your JEE mains rank :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer