You would need that Student Licence to undertake training at any licenced ATC Unit so it would hardly be looked upon as some sort of "failure".
I don't know your circumstances, but I trained lots of people in my time.. many of whom failed for a variety of reasons. It was upsetting both for them and their training officers but I tried to get them to understand that every ATC Unit and every ATC Position is different and whilst they may not have made the grade at one unit they might turn out to be very capable at another.... as, indeed, several did.
Good luck with whatever you do....