She really loves brushing her hair..?
Jesting aside, here is a description of the Order of Coif:
https://en.wikipedia.org/wiki/Order_of_the_Coif
The Order of the Coif is an honor society for United States law school graduates. The name is a reference to the ancient English order of advocates, the serjeants-at-law.
A student at an American law school who earns a Juris Doctor degree and graduates in the top 10 percent of his or her class is eligible for membership if the student’s law school has a chapter of the Order.
The Order of the Coif honor society was founded in 1902 at the University of Illinois College of Law.