Going private costs a lot though, how many students can afford that? But it may be the only way if you can’t wait a month or 2. If you’ve got exams/ deadlines coming up though worth speaking to student services to explain the situation and see if any allowances/ extensions etc can be made in the meantime?
If you’ve been prescribed ADHD/ADD meds already, sounds like you’ve already been seen by a specialist and therefore should still be under their care, at least they should be following you up whilst on these types of meds - usually they’re restricted medicines and GPs can only prescribe them under repeat prescriptions after the specialist has decided which ones are best for you, so is it not poss to go back to the original dr who prescribed them and discuss alternatives?
Sounds like a difficult time for you - best of luck getting sorted, hope you do so soon