Obviously, your gender doesn't play any role in your admission in any college you just need to clear the cut off of the concerned institution and the seat is yours as far as admission in NIT is concerned, you need to score well in JEE main and with a rank below 30-40k you can easily get a seat in any of the NIT and if you want the top ones you need to look for a rank below 10k. 

All The Best!!, for any furthur query feel free to ask :)