Given your JEE Main score of 83.5 (CRL: 243,723; SC rank: 13,382), admission to NIT Trichy is highly improbable, even under the SC category, as the cutoff ranks for this institute tend to be significantly higher. You may want to consider applying to lower-ranked NITs, IIITs, or reputable state engineering colleges through JoSAA counselling. If you would like assistance identifying suitable options, please let me know.