In reply to airbournegrapefruit: Can you get medical records to support your claim - in effect a "doctor's note"?
My circumstances were slightly different to yours. I found the university were very reluctant to move until I provided some form of official medical record. Once they had the paperwork they were actually very helpful in enabling me to complete the course.
Get hold of a copy the university's calendar/student handbook (whatever they're calling it - you should have been provided with a copy at the start). Study it - there must be some provision for medical or other emergencies happening that would prevent a candidate from completing the course and/or exams.
Check with your students' union - they might have an advisor or legal bod that can point you in the right direction (although, I have to say, the one that I met was only knowledgeable about landlord-rent issues!). Next stop - CAB. As a minimum you should ask them to give you a list of solicitors that specialise in educational issue.
I ran up against the wall of university rules (not the same uni as above) and "nothing could be done", until I mentioned taking legal action, suddenly the wall came down and they started talking. I chickened-out in the end, but with the wisdom of hindsight I wish I had pursued it - I had a much stronger case than I realised at the time.
Best of luck.