Do any of you think that one's state of mind during depression, including total worry and anxiety, could hide the effects of a new med that might actually be a good match?

I am on the wrong meds, and it is taking a while to find a new psychiatrist who will, hopefully, prescribe correct meds (I've been on better ones - long story - so I know it is possible). Meanwhile, I'm going downhill and panicking.

Now I'm wondering if by the time I hook up I'll be in such bad shape that we won't even be able to tell, that a good med won't be able to override the depth of my depression (in the usual allowed time).