Emergency for an injury to the hands: Flee Les Urg...

Emergency for an injury to the hands: Flee Les Urgences de Foch
Went to the emergency room for a wound in his hand. Arrived at 3 p.m. to come out at 8 p.m. with just a recommendation to go to the emergency room Hands !!
5 hours of waiting with an arrival in the emergency room every 20 minutes on average.
The intern informed me that I had made an appointment at 1:30 p.m. on Sunday at the Mountain clinic.
Question: But at the clinic, there are fees overruns !!
Answer: I have no idea.

The next day at 1:30 p.m., I realize that in the end no appointment is set, it's just the start of the CHIR and the anesthesiologist vacations who finally take substantial fees overruns.

How can a public service send a patient to a private service?
Are there any secret arrangements between Foch and La Montagne?
Since the response to this discontent is written by an automaton, we can even conclude that the Foch hospital does not care about the satisfaction it must bring to its patients.