Legal Question in Medical Malpractice in California

Illegal?

No.

He has the right to refuse service to anyone, just like any other business, and you have no 'right' to force yourself on him.

The closest your question comes to the reality is that, a hopital ER is not allowed to turn away someone in life threatening condition, and must stabilize them before kicking them out to some other facility that will agree to take them.