Yeah, if I found a man had, without invitation, gotten into my bed while I wasn't there, having sex with him would be the last thing on my mind. 
If he was drunk, I'd just assume he had mistaken it for his bed and get someone to throw him out.
Sadly Fela, wearing a burka and having a male chaperone at all times doesn't seem to prevent you getting raped, although I understand that courts are less likely to stone you to death for being raped if your male chaperone has been incapacitated but still conscious to act as a witness.
You could also be raped by your male chaperone, sadly. Not all women have a trustworthy male relative, much less one who is willing to spend most of his time chaperoning them.
Learning self-defense and never leaving the house in a group smaller than five women might help to not be raped in the first place. (Of course, no males can live in the house. Allowing a male to live with you would result in automatic blame if he rapes you.)
Probably a nun-like lifestyle, about thirty women per house, only going out in groups of five, would be the safest approach. The nun's habit would also serve the same purpose as a burka ...