I need help with Autism and University

I am currently on the waitlist to get a diagnosis for Autism and it is very nerve-racking because I don't know when I am going to receive a letter from the doctors or anything about it. At the same time as this, I am applying for university and I have had 2 offers (one conditional, one unconditional) and now I am completely confused about what I can do.

I have been thinking about applying for DSA (disabled student allowance) but I am not sure if I even can without a diagnosis and just being on the waitlist. I have the proof that I am on the waitlist with the letter from the NHS but I don't know if that would be enough to get it. Would it be worth going private to get a diagnosis so I can apply for DSA for university, otherwise I fear that by the time I have my diagnosis from the NHS I would have finished University already.

If I was to go privately, should I still stay on the NHS waitlist to get a diagnosis from them as well because I have heard that some organizations will only accept an NHS diagnosis for some reason (i think that is so stupid. What's the point of paying to go privately and potentially getting the diagnosis faster than you would have through the NHS if there are some places that won't accept it anyway. A diagnosis is still a diagnosis, NHS or not).

Or should I just not apply for DSA all together for the first year and make it less stressful because one of the universities has asked me to fill out an online form asking about support and stuff and one of the tick boxes is if I am applying for DSA and I haven't been able to send it off yet because I don't know if I am applying for it or not.

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