The Emergency Responders Mental Health Training Act, or EMT Act, directs the Secretary of Health and Human Services to establish a Public Safety Mental Health Fellowship Program that provides fellowships and stipends to mental health and substance abuse treatment professionals who want to specialize in serving emergency responders. The program aims to increase the number of specially trained mental health professionals who understand the unique stressors and confidentiality issues facing emergency responders, including firefighters, paramedics, police officers, and hospital emergency personnel. Eligible training includes postbaccalaureate degrees in psychiatry, nursing, social work, psychology, marriage and family therapy, mental health counseling, and substance abuse counseling. The bill authorizes ten million dollars per year for fiscal years 2028 through 2033 to operate the program, which must be established within one year of the bill's enactment. The Secretary must submit reports to Congress two years and five years after the program launches assessing its efficiency, impact on patient outcomes, and recommendations about whether to continue, reform, or end the program.