Regardless of the outcome of the surgery, I think it was unprofessional for both. They should both be sacked. The immigration issue seems a separate thing unless there are requirements stipulated in the process. For example, in the USA, people can be deported if they become a problem for society. What that means will be up to the lawyers to argue about.

One way of viewing it is if I come over to visit your home and I start behaving badly, it would be your right to ask me to leave. If I refuse, you could have the police remove me for trespassing.

You might say, it's unfair because citizens can act poorly without getting deported. But in that case, they're in their home. They can't be deported.

As a guest, in my view, you have a higher obligation to behave yourself than your host does. The principle in that is that a mistreated guest can simply leave. Getting a guest to leave can be more challenging if they don't want to leave, in a legal sense.