To keep yourself and the omelets safe, you should break the eggs against a flat surface or against each other to create a large enough crack so that the eggshell (small pieces) don't fall into the egg itself. The risk of the eggshell in the omelet is that you could possibly be giving yourself salmonella which is a dangerous situation.
Because he can check if your teeth are alright, because he can take measurements against danger in your mouth and because he can give you instructions on how to take care of your teeth