Using the One-Sample Kolmogorov-Smirnov Test procedure, you found that, overall, the number of automobile accidents per driver do not follow a Poisson distribution. However, once you split the file on gender, the distributions of accidents for males and females can individually be considered Poisson.

These results demonstrate that the one-sample Kolmogorov-Smirnov test requires not only that you choose the appropriate distribution but the appropriate parameter(s) for it as well.