OP, I feel for you and understand what you're going through as my DC have similar MH issues and it's shit to watch them go through that,
My personal opinion is that you're barking up the wrong tree with the psychic. By viewing your DC's MH issues as a cloud that will one day spontaneously disappear (and it seems to be when this will happen that you'd like a psychic to confirm), you might be missing opportunities to help your DC with their MH (i.e. if you're desperately waiting for it to 'lift' on its own).
IME, overcoming MH issues takes a lot of work and patience on the part of the child and their family, and I think if you can take more ownership in finding a solution (and it will be a long haul), it might help your DC to do the same. IME depression, anxiety, etc aren't illnesses like getting a cold where you'll wake up one day and feel better. It takes months, sometimes years, of work.
Also, rather than trying to find a psychic to tell you it's all going to be ok, it sounds like that's what your DC needs to hear from you (and for you to believe it when you say it to them).
It will be ok, OP - your DC clearly has a parent who loves them and wants them to get better, so I would ditch the psychics and encourage your DC to take a more active role in their recovery. Personally, I would read around the topic until I find something that resonates, but I'm a bit of a self-help junkie!