Do you mean that water is staying inside the doors themselves? Or water is getting into the interior?
These cars had a concern of poor water drainage from the inside of the doors. The doors are meant to have water pass through them, but sometimes the drains get clogged. Check at the bottom corners of the door to see if the drain holes are clogged, and poke a sharp object through them to possibly release any debris.
If water is coming inside the car through the doors, then you are looking at weatherstripping leakage or possibly a disconnected or plugged moonroof drain.