Hi @IsThePopeCatholic, anecdotally it seems that there is a wide variety of experiences in getting an NHS prescription following private diagnosis.
You may know all this already, but the way that this should work is that your daughter would undergo titration through the private provider. This means that they work with her to find the optimal medication, and best dose. Once this has been established the private provider supports her to approach her GP and ask for a "shared care agreement'. This means that the GP prescribes the medication as stipulated by the private psychiatrist. In turn regular follow ups are performed by the private provider to check that the meds are still optimal.
Under shared care the GP can only stick with the stipulations of the private provider. They can't change dose, or really offer much in the way of adhd medication advice- this is because they don't have the training to prescribe the meds without the support of a psychiatrist.
My own experience of moving to shared care was really good, quick and easy. I think this was helped by the fact that I had initially gone to my GP and laid out exactly what difficulties I had, how my life was affected and why I was seeking a private diagnosis. Luckily she was understanding and sympathetic,
Also my private provider kept my GP really well informed in writing after my assessment and after each titration appointment. The shared care agreement included a lot of info about the meds I was to be prescribed, why we had settled on them, and very clear info about any side effects and suggested course of action for various scenarios. Plus a commitment to six monthly reviews.
So I think my GP felt I'd had had a thorough assessment, careful titration and that there would be support from the private provider if needed.
It also must have helped that the GP herself wanted to help.
However, I wanted to mention that the titration process can vary massively from person to person and between different private providers. There are a multitude of meds, most are available in several methods of release (slow, graduated, fast), and at different doses. Unfortunately it is impossible to predict which meds work best, or at all, for an individual- so the titration process can be swift or very lengthy. So it is worth being prepared for the cost of this. My titration took forever as I didn't respond to quite a few medications, needed a relatively high dose of the one which works, and have to take it twice or three times each day. So the costs added up.
Finally, and again apologies if you know this,
but medication is often only part of the helpful outcome of diagnosis. For many people with adhd being diagnosed brings a valuable sense of understanding, self compassion and answers. It can also lead to adhd specific coaching which for me has been priceless and way more helpful than meds.