An article in Consumer Reports states that after controlling for vehicle size and type of crash, women are still more likely to sustain certain types of injuries:

When controlling for vehicle type, vehicle size, and crash type, IIHS researchers found that women were twice as likely as men to be moderately injured and a bit more likely to be seriously hurt in a crash—especially in regard to leg injuries—but that other disparities faded.

https://www.consumerreports.org/car-safety/new-data-expands-on-why-women-have-a-greater-risk-of-injury-in-car-crashes/

However, most of the disparity in injury rates seems to come from the fact that women drive smaller vehicles and are more likely to be in the car that was struck.