Rep. Matt Gaetz on Tuesday denied that he had a sexual relationship with a 17-year-old after the New York Times reported that, according to its sources, the Justice Department was investigating a possible sexual relationship with the girl and whether he paid for her to travel with him.Rep. Matt Gaetz on Tuesday denied that he had a sexual relationship with a 17-year-old after the New York Times reported that, according to its sources, the Justice Department was investigating a possible sexual relationship with the girl and whether he paid for her to travel with him.