From my own experience the insurance company did not drop me and I worked for 26 years, 24 years with a dx of depression which I took meds for and saw Pdocs.
If you hide it from the insurance company and they find out that might put up a red flag for the company.
I am sruprised a professional would give that kind of info. Of course this way she can charge you the full amount and you will pay out of pocket..........insurance companies discount the charges so she would not make as much money.
Just my 2 cents.
Kitt