It’s not impossible to determine what happened. Verbal testimony is used as evidence in courts of law every day of the week. A lot of the cases that go to court around all types of crime have little or no physical evidence.
False rape accusations nearly always fit a certain kind of format.
But if a woman without any history of dramatic falsehoods says she went home with a man and, after they’d kissed a while consensually, he held her down and forced her into sex — in the absence of compelling evidence to the contrary, you can just assume it’s true. This is not because of any political dictum like “Believe women.” It’s because this story looks exactly like tens of thousands of date rapes that happen every year, and nothing at all like a false rape accusation.