Suzanne Collins paints the Hunger Games as a weapon, a method of power and with this quote, she is emphasizing how innately indestructable the Capitol's weapon is supposed to be. The games are used as entertainment for the upper-class society which keeps them submissive to the government while it also symbolizes fear and obedience among the lower class. Having the games be such a secure aspect of the society ensures the governments' rule and power will not be overthrown. It's supposed to elicit such fear among the districts that citizens don't consider the possibility of its defeat.
The staff would hopefully say "Sorry the doctors not in right now thank you buh bye" and then id maybe go comando and leave to live in a tent or if i answered id maybe say "i had no idea he/she never gave me any signs of this behavior before i dont know what to say but this is a case of bipoler issuse or drug abuse and maybe a bit of depression he/she was nit willing ti share with me." something like that :P
