NEW YORK — Former President Donald Trump will have to answer questions under oath next week in a defamation lawsuit lodged by a writer who says he raped her in the mid-1990s, a judge ruled Wednesday.U.S. District Judge Lewis A. Kaplan rejected a request by Trump’s lawyers that the planned testimony be delayed. The deposition is now scheduled for Oct. 19.The decision came in a lawsuit brought by E. Jean Carroll, a longtime advice columnist for Elle magazine, who says Trump raped her in an upscale Manhattan …