I went to my psychiatrist finally. I am not sure if I should continue on with him, though, because I do not know if this is standard practice or not.
My neurologist kind of dumped everything on my psychiatrist's shoulders, without even knowing him. She told me that since many/most antidepressants are also anticonvulsants, she would just let him take care of both. He was understandably nervous and wouldn't write out a prescription until I had called the neurologist and gotten her to call him to say it was ok. In spite of me having serious medication issues that he had no idea whether or not would be resolved, he scheduled my next appointment for a month. That seems a bit long to leave someone on the wrong medication.
As a side note, I find it very hard to ask for things from doctors or other authority figures. We brushed on this in session (how it had taken me years, decades in some cases, to get problems treated because I was not forceful enough). I can't just say "I am not sure I can make it a month. I am not entirely sure I can make it a week." Especially not to someone new, that I don't know and trust. And I wouldn't even be saying it to him, I would have to be saying it to his receptionist. I didn't find out until then that it was one month.