I hate the jargon, but it makes the point. There are very few famous women shooters, markswomen, shooting sport enthusiasts - call them what you will. There were Annie Oakley and Calamity Jane, of course, but rather than being shown as independent women who chose to participate in shooting, they are now generally portrayed as women who made the best of a bad situation by becoming good shots. We do occasionally see female members of the Royal Family and the aristocracy wandering around with a shotgun open across their arm, but this is largely seen as a fashion accessory rather than part of an actual hobby. The media, especially in films, tend to portray women as innocents when it comes to firearms.
Most women spend their time shrieking in the background of the action, rather than getting involved.
We do have some pretty snappy female shooters here in New Zealand, of course, but the media seem to ignore them. Of course, the media tend to ignore sportswomen anyway, and combined with the general media prejudice against shooting, most women have no idea that others of their sex are achieving great things in this sporting arena. If there was more awareness of these achievers, there might be more acceptance of women entering the shooting sports. This may have something to do with the media stereotype portrayal of gun owners as beer-swilling redneck males with deviant sexual development. However, with all the adverse media attention, now is not an easy time for any person to take up the shooting sports.