If the doc thinks you may be at risk or put someone else at risk, they can do exactly what they like.
They can absolutely downgrade you and put you on an NHS WL if no other local MDHU availability.
Covering your arse, actually.
You are actually just like all the rest of the front line medical staff, NHS and military, none of whom are treated any differently.
Just put your hand in your pocket and get on with it.