I'm sorry, but I'm still not satisfied with this hadith and these replies. I understand everything you said, and I respect your belief, but can't a woman get attacked just 10 feet from her house? Can't men get attacked while traveling alone?

Maybe I should clarify my points a little more, it's still a little vague.

Let's say it's 1400 years ago, a woman wants to travel alone. She has to get on a camel/horse, travel through the desert for days and nights. If there are no rest stops she must sleep in the desert alone, there's a great chance she will get attacked (notice this that the prophet PBUH has said for men not to sleep alone, especially in a deserted place). There are more dangers for women than there are for men, I know this. Anyways, now imagine today, a woman decides to go from japan to the usa. She buys her ticket, reserves a hotel room from the airport in a well known hotel, she gets on a lisenced cab, she does whatever she is traveling for, and she returns home safely. If she keeps her eyes and ears open, she can travel around with no real dangers after her.

Hope I conveyed my points more clearly this time.