Prince Alexander began to worry when he saw the Royal physician coming in with the Queen. From the look on both of their faces, it doesn't look like they have a piece of good news at all.
He decided to intercept before they even had a chance to open their mouths. Prince Alexander informs them that whatever the result might be, it could wait. He has a more pressing matter to attend at the moment, and he planned on rectifying the situation.
"Queen-mother, Royal physician... whatever the result of my physical exam might be, I would like to wait until when I come back. I have a more pressing matter that needed my undivided attention. Therefore, I'm going to bid you all goodbye. I need to get out of here as soon as possible. Bye!"
Prince Alexander didn't wait for their response, and he walked out of the door without looking back. He knew that the Queen would not let him leave if she has any idea where he's heading.