It would be completely illegal for any University (or an employer) to discriminate against someone with any particular health diagnosis unless it was something that could obviously put you or your patients/the public at risk. There are millions of neuro-diverse people in the workforce and I'd go so far to say that some of the medical/veterinary or similar fields probably attract neurodiverse people because of the detailed nature of the work.
In reality I would strongly suspect that the bulk of the population have some degree of neurodiversion and we just consider this part of who they are and it is completely normal.
I have friends studying veterinary medicine, I have friends who either own a practice themselves, work as veterinary surgeons or who have left the profession to do something else. They are all as unique as anyone else. Don't ever let any diagnosis put a pitfall in your path. When you win a place on your course, someone has put a big thumbs up on your application and thinks you will be a great addition to the profession. Don't ever forget that.