Yes your application will be accepted by IIIT Delhi as an applicant can appear for JEE Mains for atmost 3 times only. Apart from IIIT Delhi you can also apply for other prestigious Engineering colleges such as IIT's, NIT's etc based on your rank.

Hope this clarified your doubt

All the best

Yes,

Every Candidate is allowed to appear for Jee Mains at most 3 times and every national level institue accepts the result even if it is a 3rd attempt.

Although, you can visit the IIIT-Delhi official website, link below

https://www.iiitd.ac.in/admission/btech/2017/application