I need to visit a GP for escitalopram.

Does anyone know what the position taken is by private GPs if you present with a mental health issue in the sense of do they insist on knowing your NHS GP's details?

The reason I ask is NOT because I am trying to do anything illegal, it's because I don't want this episode on my medical history, for complicated reasons I won't go into. I'm just enquiring as to how private doctors register/process their patients, and whether it is inevitable that a visit to a private doctor will be passed back to the NHS GP, or not.

Or to put it another way, is it possible to tell a private doctor that you would prefer discretion and for them not to pass it to your NHS doctor if you so request?

Thank you.