That is a function of not enough OR time funded in the public system.  She isn't buying her way to the head of the public list.  She is purchasing a private service outside of the public list.  Why is this so hard to understand?  

People, these clinics would not exist if the government adequately funded the system to meet the demand.  If you don't like the fact that these clinics exist, pressure the government to meet the demand.  No one would pay privately for services if you could get rapid access through Medicare.