As per the cutoff trends, with 12835 rank in Jee Mains 2021, taking into consideration your category as EWS, you can expect a seat in NIT TELANGANA under state quota.
You can refer the link for cutoff for NIT TELANGANA for 2020.
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-nit-warangal/amp

In NIT TELANGANA, you cannot get all branches. Some of the branches you can expect there with this rank are:

• Electrical Engineering
• Computer Science Engineering (Might get)
• Chemical Engineering

As per the cutoff trends, chances of getting a seat in IIITs are really low. I have mentioned the cutoff link for your reference.
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits/amp

In GFTIs too, chances are low. Please refer the link for 2020 cutoff of GFTIs.
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis/amp

For more predictions i will suggest to use the college predictor tool.
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

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