Getting caught carrying a sword around in public is going to result, I think, in at least an intensive questioning session, and at most you'll have your mug on The Smoking Gun the next day, in as much as carrying a sword is seen to be more or less synonymous with "nutbag".
I like to think I am pretty well inured to the wide variety of beliefs one encounters on the net, but still it's pretty amusing to read that some young lady's boyfriend thinks she would be safer walking around the woods with a sword.
You can tell him that swords are not great weapons, and in this case it's a downright silly choice. They're unwieldy, have a short range, only work effectively when either a) very heavy and swung with great force and velocity; or b) light and strong and stabbed forward with considerable strength. The average medieval combatant did not own one, and instead marched to battle with a hoe, woodaxe, shovel, hammer, or other implement. In terms of protecting you, it would certainly accomplish the opposite.