If we're going to be using prior military experience as an example, then I can state honestly that the average woman in the Navy has a hard enough time just getting around the ship on her own. There was a door near my berthing (read: giant multi person bedroom) that had to be kept shut for equipment operation reasons, but it was on a high traffic passageway, so the door got used by just about everyone. The compartment it opens into, while that door is shut, develops a low pressure area that tends to hold that door shut. Nine times out of ten, when a woman came to that door, she needed assistance in getting it open.
Now place that ship in a combat situation, and ask her to carry an average, passed out man through that door on her lonesome. Will it happen? For that matter, set that compartment on fire and ask her to evacuate from it. Can she do it?