It is progress though it may not feel that way, Dave.
Your step daughter and you now know there's a plan in place to find out exactly what your wife's medical problems are ... and then whether any aspect of them can be treated through medication. It's clear the psychiatrist is fairly sure there is a problem.
You and your step daughter co-operated effectively, each of you providing support for the other and for your wife.
It's a great shame the NHS can't act faster than it does nowadays (not having a go at the NHS here - more at the politicians who mess it about and starve it of funds) ... however they may act faster than they promise to do.
The psychiatrist will have reached some provisional judgements about your wife's mental state and how it affects her functioning. How about emailing the psychiatrist to ask his / her advice and for helpful information sheets on the best ways for you to help your wife deal with specific life problems?
TP can only give generic advice and most of us aren't medically qualified. The psychiatrist may be able to give advice tailored better to your wife as an individual patient.
Nothing against the psychiatrist, he was thorough but his hands are tied as I can understand
Maybe if I were not around then things would move much quicker for my wife...