Simply show your GP a copy of your post, that will be enough. It is singularly unfortunate that the particular psychiatrist you saw presented such a negative and hurtful view. Being a psychiatrist does not make them automatically right, it simply means they have qualifications, that's all.
Saying you were not ill becuse you were not suicidal is bizarre, simply not on. I'd guess the majority of people with depression are not suicidal, that does not make them any less ill.
There is one true expert on your condition, and that is you. You know how you feel, your story, your reactions, and that really does need to be listened to and used as the basis to make you better.
You are in charge of your treatment, nobody else. So you have a GP I suspect may be OK, you have found, after looking at several a psychologist you click with , so you have two sources of support. If you current treatment is helpful, but not adequate then yes, you need to consult more and say so,. Things are often a case of trial and error, as so many people react differently to the same thing.
Life does get better, I found the right medical support, and that together with a very patient and loving family has placed me in the sort of life I am happy to have. It can be the same for you.