I know there are a lot of questions about whether or not to disclose mental health issues to advisors, but the difference is that I'm asking whether to disclose these conditions before they agree to supervise me. (Thus, I don't think this is a duplicate of To break mental health condition to potential new advisor because in that post, the professor had already agreed to supervise the student.) Also, unlike the other posters who are primarily concerned with diminished productivity and/or having to take time off, my condition hurt my relationship with a professor.
Most of my problems stemmed not from the grievance itself but from persistently trying to have it dismissed, which I do not regret. However, since the university sent me a cease and desist letter (and all faculty know about the situation, or at the least know to forward any communication from me to the General Counsel's Office), they may mention or allude to this in a letter or recommendation. So it may be best for me to explain everything prior to applying.
Anxiety also affects me in other ways. For example, I fear flying. Since advisors often encourage their students to travel for research/conferences, she should probably know about this phobia as well. Best case scenario, she's understanding and uses this information to better communicate with me and help me avoid stressors. However, she could also decline to advise me. (If it's relevant, this is for a master's degree.)