Your job is not to provide notes for your class. Your job is to provide a specific service to students who meet criteria set forth by the university's office of disability services.
It is not up to you to determine who meets the criteria, that's up to disability services- but it is also not up to you to decide that someone DOES meet it either. I would just let the office of disability services handle it..what I mean is, you can just email her:
"I work for the office of disability services and I am instructed to provide notes for students who have registered with them and meet certain criteria to be assigned a note taker. I didn't get your name on my list of students, if this was an oversight please call the office of disability services at 555-5555 and we'll try to get it worked out."
Honestly that's all I'd say and I'd leave it at that.
I used to be a note taker as well as doing other work for my university's Office of Disability Services and yes other students DO try to take advantage of services that you are providing to students with disabilities.
They see or hear about you taking notes and giving them to people and they think "awesome, I'll try to get the notes from her and then I don't have to go to class."
Now she may have something that makes it difficult for her, such as dyslexia or anything else but that is not really any of your business, if she starts giving you reasons why she needs your notes I would just refer her to disability services.
Privacy was SO important when I worked for them- when they gave me a list of students who I would take notes for, they did not even tell ME the reason WHY the student needed me. I never knew the student's individual disabilities. I was only providing a service, but the reason why they needed the service was between them and disability services, I was not told any of that due to their right to privacy.
I was also told not to tell anyone else the names on my list. For example I couldn't tell someone, "I'm taking notes for Jen, Rob and Andy, because they're registered with disability services." You know?
So with the girl I wouldn't give out info I would just email her back the part I typed in purple letters are leave it at that.
If she does need the service, then she needs to talk to them about that and not you.
If she doesn't need the service, then she will realize you are not the class note taker. lol