Are there any health risks by not taking a certain medicine when told?

Yes, you certainly have put yourself at risk. Think about the diagnosis. A poossible infection, or an absorbed tooth. If the tooth has absorbed, it isn't going to cause problems. If the infection is left, it's going to spread. So what you are doing is giving a possible infection a chance to get very well established in your head (near your brain) while you wait until next weekend for some not-very-clear reason.