Dodd-Frank explicitly establishes the CFPB as an "Executive agency" as that term is defined by federal law {Section 105 of Title 5, U.S. Code}. Under the Federal Vacancies Reform Act of 1998, "if an officer of an Executive agency ... whose appointment to the office is required to be made by the President, by and with the advice and consent of the Senate, ... resigns," the president has the authority to name as acting director a currently serving federal officer who has been confirmed by the Senate. Mick Mulvaney meets that requirement; therefore, President Trump is right and you are wrong.
Siding with Trump, judge rules Mick Mulvaney to remain interim CFPB head
http://www.usatoday.com/story/news/politics/2017/11/28/judge-rules-mick-mulvaney-remain-interim-headin-leadership-fight-consumer-financial-protection-burea/902173001/
A federal judge on Tuesday refused to block the appointment of Mick Mulvaney as interim director of the Consumer Financial Protection Bureau, siding with the Trump administration in the legal fight over the leadership of the consumer watchdog. ...
You really need to enroll yourself in a basic civics class, zzshart ... 'cuz kicking your ass on a regular basis has become WAY too easy, don'tcha know.

The essential American soul is hard, isolate, stoic, and a killer. It has never yet melted. ~ D.H. Lawrence