Thank you for the support Twister and Pamela!
So, on Sunday night I sent an email with a copy of my proposal to the prof. I told him "as you will see, one thing that I discuss in my proposal is my own experience with anxiety. I suffer from severe anxiety, agoraphobia, and panic attacks and although I have made some improvements I am not at a point where I would be able to get down to the campus and make a presentation. I still have days where just going to the grocery store isn't possible." I also mentioned that I was registered with the DRC (disability resource center) and that I might need to drop the class if there wasn't another option in lieu of doing the presentation. On Monday he emailed me back and just said "let's talk about this in our meeting tomorrow". That made me super nervous! I was worried that he'd want to discuss and really go into detail etc. which I just hate doing.
Anyway, on Tuesday I got his Skype call and right off the bat he addressed the issue. He didn't make me explain anything further and said that instead of coming to the campus to make the presentation that I could make the presentation just to him via Skype when the time comes and email him my PowerPoint presentation beforehand. We will also have to "meet" via Skype every 2 weeks as he will be my advisor for the project. Normally the students have to select another professor to be their advisor but he said that he would be mine so that I didn't have to worry about finding someone else. He also told me that if I ever needed to cut the meeting short or anything to let him know. He was very nice about it and I really appreciated that I didn't have to say anything further about it to him. I don't know if it had anything to do with the fact that I mentioned the DRC or if he just understood based on my proposal and email but I feel SOOOOOO relieved that he is willing to work with me on this and that I will be able to complete my coursework despite the fact that I still have so many issues that I'm dealing with. I want to thank you again so much for your support, it really helped me calm down while I waited to hear his response and it helped me to remember what to address in my email to him. Thanks