Bgebenched- there may be some people who might freak out and reject you for it without even thinking it through, but then again, would you really want to marry someone who jumps to conclusions like that?
I know that clinical anxiety (as opposed to the anxiety that anyone in a stressful situation would feel) is hard to deal with; and yes, if someone thought about it, and decided they couldn’t handle living with it forever, and decide not to date you that is fine; but if you emphasize that you have it mostly under control (with medication, continuing therapy etc) that will make people a lot calmer and more accepting about the situation. If you can show that you have the condition under control, most shidduchim should be ok with that.
My husband has ADHD, and I was informed very early. Because he demonstrated that he has it under control through medication, and he does what he needs to do to keep his condition from interfering with his daily life, I felt perfectly comfortable going ahead.
May Hashem allow your treatments to be successful, and may he help you to find a caring, sensitive spouse very soon!