If they are too incompetent to carry, then they are too incompetent to teach.
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Rethink that. You really want a bunch of middle aged gals who have no business carrying with the opportunity of a punk twice their size blindsiding them just to get their weapon?
My wife was a very competent teacher for 38 years. All 5 feet of her. She would never have been a highly trained weaponized deterrent. Nor should she have been.
The point is competence. I know several female Marines that are short and as vicious as a Mastiff. Were your wife to be trained and carry concealed, she probably would not have been a target. Would you agree that your wife was so unaware of her surroundings that she would be targeted? I certainly hope not. With proper training, I believe she would be as much a deterrent as one of my Marines.
And that is the ultimate goal of CC, anyone COULD be armed.