Brian Kemp Won’t Run for Senate in Georgia, Giving Ossoff a Lift NYT | Top Stories Shane Goldmacher and Maggie Haberman 6 May 2025 at 03:05 The popular two-term governor of Georgia had been seen as the strongest potential Republican challenger to Senator Jon Ossoff, a Democrat. © Jason Getz/Atlanta Journal-Constitution, via Associated PressGov. Brian Kemp of Georgia drew an angry response from President Trump for his refusal to indulge in Mr. Trump’s false claims that the 2020 election was fraudulent.