Who directs the CFPB?

By the end of the day, it was still unclear who was the true acting director of the Consumer Financial Protection Bureau — President Trump’s pick of White House budget director Mick Mulvaney or one of the agency’s longtime executives, Leandra English.  Mulvaney showed up at the agency’s Washington headquarters early in the morning bearing a bag of doughnuts and then firing off an email ordering the staff to disregard any orders from English.  ... The agency, they say, was intentionally created to be independent of Congress and from political pressure from the White House.   Washington Post 

So President Trump doesn't have authority to appoint the acting director of the CFPB, but a federal judge does?  And it is independent of both Congress and the White House?  What kind of out-of-control agency is this?