But that isn't necessarily true. Women do not necessarily show it when they are interested in men. And again, many times women only become interested in a guy after they get to know him. So what sense does it make for a guy to stay away just because a girl isn't interested in him before meeting him?

Men should be allowed to approach women regardless of whether they are interested or not. If women have a problem with a man speaking to them they should wear a veil or stay home.