Hiya,
I don't have anxiety (I have schizoaffective disorder, so a different mental health condition!) so I can't say for definite. The principle behind DSA assessments for mental health conditions used to be to find out how your mental health condition affects/impacts/limits your ability to study, and then to set you up with a support package that enables you to work effectively from home (for the days where you can't go in, due to your mental health being too bad).
I had my assessment several years ago, so things have probably changed. But in case it helps to have an idea, I was given the following:
Laptop and printer-scanner-photocopier
Course-specific software on the laptop, plus things like text-to-speech and mind-mapping software
A taxi allowance for the year (from my accommodation - I live with my parents - to uni and back)
A dictaphone and associated laptop software
Weekly access to a specialist mental health mentor, provided by the uni
A notetaker for my lectures (when I was a Masters student. I didn't have DSA for undergrad!)
By far, the most useful thing for me has been having the access to the specialist mental health mentor. This is someone you meet regularly, who can help you plan your study time, help with motivation/accountability, and liaise between you and the uni disability office.
I don't know if DSA still offers all these things for mental health. Just be as honest and detailed as you can be about how your mental health affects you. It's a more gentle and holistic process than government benefit applications, in case that's what might be worrying you!