It is their problem.
There are doctors/care providers out there who will not judge, who will help, and understand. I had a similar problem but luckily found a doc, and others, who helped. I settled on my doc when I told him, at first meeting, what my issues were to judge his reaction---(after going through a few others...) & when he said "sounds reasonable to me" I said "you are my doc"---he is retired now, but i have an APRN who is young but just as supportive etc... Best luck. (I did move from one practitioner in the office to another when I did not feel ok about the person they 'assigned' me to after the doc's retirement.)----