Engineering Entrance Exam

Your expected JEE Main AIR is about 132601. Please write about your home state and category you belongs for more better response. However, if you belongs to general category, you can get the following NITs under other state quota (Female).
1. NIT Arunachal Pradesh
2. NIT Manipur
3. NIT Meghalaya.

As per the previous years of trends your GATE score is not enough for admission in M.Tech Thermal engineering in NITs. However you may participate in National Spot Round (Conducted after Internal Sliding by CCMT for more confirmation. Similarly for IITs you needs to score above 725 in GATE.

Eligibility Criteria: Candidates may come from the following backgrounds:
50% marks in aggregate of 10+2 or equivalent and in aggregate of Physics, Chemistry and Mathematics as subjects of examination.
50% marks in aggregate in 10+3 Diploma (any stream) passed/appearing recognised by Central/State Gov

No, Diploma engineers can not apply for BITSAT conducted by Birla Institute of Technology and Sciences.

Your expected JEE Main AIR is about 22278. The last year closing rank in asked course at IIIT-D was 40562 for Delhi region candidates. While 6442 was for outside Delhi region candidates. So, you can get if belongs to Delhi region.