I have been with the same GP for years, and in her practice mental and physical wellness have the same importance.
When I first became ill with depression I had not realized that that was 'part of her job description'. I was surprised as I assumed GP's were only about the body. So on recent appointments she asks for an update, even though I see a Pdoc and a therapist.
My GP was my first therapist and this was my first time I ever had depression, that was until I could get to see a Pdoc. (In Canada it can be a 6 month wait) I am comfortable with sharing general information, and never feel anything but supported. I trust that if suddenly I was way off the path to wellness that she would let me know.

If I had a new doctor I would want them to know about all the medications and would want depression to be taken seriously as my physical health.

I can understand the difficulty in trusting a new health care person. Some health care practitioners are not comfortable with the 'mind' and mental illness, but many are there to treat the whole person and respect individual needs.

You have a choice on what you want to say or do not and deciding what is best for you. Having choice also means having to live with the consequences.
And I understand insurance is a big deal as I am on long term disability and dealing with that has set me back on more than one occasion.

Hope your Monday goes better than expected.
G