Through the various outpatient services that many, if not all trusts have in operation, some are even conveniently named "chest clinic", so the executive experts should easily identify people of risk, or not in your case.
These clinics where illnesses such as COPD or Emphysema are managed, they pester people on every 3 6 12 month review for updated contact detail, when they go into the hospital for said appointment.
If they are of low risk health wise and age, also many of this executive skill set are working from home, then yes front line staff and more importantly people of risk from serious complications should be having vaccine first, because its this group that will overwhelm the NHS regardless of how many directors are authorised to open wards. Its called "prevention".