Make a list of what is actually yours
Write two columns. In the first, everything registered to the clinic: the patient database, the landline and clinic WhatsApp, the clinic's social accounts, the Google Business Profile, the ad account and its pixel history, the domain. In the second, everything registered to you personally. For most employed doctors the second column is empty, and that is the entire risk in one picture.
You do not need to take anything from your employer to fix this, and you should not try. You need a parallel layer in your own name that is legitimate, visible and portable.
Selling products or courses alongside the clinic?
Shopify is the quickest way to put a store behind your name — try it free.
The three assets that travel
A handle in your own name, secured on every platform you might one day use, even the ones you will not touch this year. A page you control — a single page that ranks for your name, lists your credentials and points at wherever you currently practise; update the address, keep the audience. A consented list of people who asked to hear from you, which in Kuwait usually means a WhatsApp broadcast list rather than email.
All three can be set up in a week and cost almost nothing. The reason most doctors do not have them is not cost, it is that nothing forces the issue until the day a contract ends.
Doing it without a conflict
Keep the personal layer educational and keep the clinic layer commercial. You teach; the clinic sells appointments. Never advertise a competitor, never take the clinic's patient list, never post the clinic's internal numbers. Agree in writing, early, who owns footage shot on the premises — that single clause prevents most disputes.
Handled this way, a doctor's personal brand is an asset to the clinic while you are there, which is exactly the argument to make if your employer is nervous about it.