If it's something you really want to do then I'm sure it's possible to figure out a way for you to cope at uni.
Since you wouldn't start there for a while maybe you could pay quite a few visits and meet people like tutors early on so they are familiar. You could maybe explain to the accommodation people if it's important to you to know early on where you would be living so you can look at it and figure out how to get to places and how you can feel safe there. You could register early with a GP so you have a chance to discuss things in advance and so you know that there is someone you're happy with and someone you can go to with any health problems and the same with a counselling service or something.
The other thing I think you already realise which is therapy/counselling to learn how to manage anxiety. 3 weeks isn't that long when you have until September to address this. I'm sure it will take a long time but you seem fairly determined so a few weeks isn't going to make the difference between you managing/not managing it.
Good luck!
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