Failed my 2nd Qualifying Exam in PhD. Absolutely devastated. How to proceed?
I have evidence that it is possible to do a good PhD in a new university after failing to pass qualifiers in an earlier one. In fact, the person I'm thinking of finished at a higher rated university than the original.
However, in this case, it took the efforts of a faculty member (and mentor) of the person to strongly advocate for the candidate's admission and to express complete confidence in their ability. The candidate had a bad experience with many factors at the original place but turned out to be very well respected by faculty at the second.
You have a hard road and it may not be possible to travel it, but look around you for any advocates that will argue for you. If you are currently suffering from burn-out you will need to get that under control. But advocates can help with that, also, just from their attitudes. Having a new advisor in a new place might work wonders if you can convince people of your ability and likelihood of success.