My rav, who is also a doctor, was once being interviewed for a medical position and he put a cast on his right arm.
The lady interviewer wanted to shake his hand and he said, in reference to his “cast”: “You see that I cannot shake hands.” She said: “Let me see what is wrong with your arm.” He said: “No.”
Then she said, “If you cannot shake my hand with your right hand, shake with your left hand.” He said: “I don’t shake hands with my left hand.”