Shared care is a formal arrangement where a private specialist (us) makes the diagnosis and treatment recommendation, and your NHS GP issues prescriptions and does routine monitoring. It's standard practice across the UK, recommended by NHS England and the BMA, and saves patients significant ongoing cost.
Will your GP accept it? Most do, particularly for common antidepressants and anti-anxiety medications. Some GPs decline shared care, especially for certain controlled medications — this isn't unreasonable, just inconvenient. If your GP declines, we'll continue private prescribing while you decide whether to find a different GP or pay privately ongoing.