Trusted, Reliable, Unquestioned Method of Procedure for Special Counsel Appointment, Limitations, and Powers Act of 2019 or the TRUMP Special Counsel Act This bill provides statutory authority for the appointment, oversight, and removal of a special counsel. The bill establishes the qualifications, scope of jurisdiction, and authority of a special counsel. It also sets forth requirements and limitations with respect to the removal from office of a special counsel. Finally, the bill requires the Department of Justice to notify Congress when a special counsel is appointed, when a special counsel is removed, and after a special counsel's investigation concludes.