a girl in my work place has been spreading a rumour about me being a hooker?

The above poster is right. If you can get your co-workers to make notarized statements of what she said about you, you could go down to small claims court and sue her for slander. Another thing is to go to your manager and report what she is saying about you. Her making your work environment uncomfortable is cause for your boss to take action otherwise you could sue them for doing nothing. Don't you love being in America the sue capital of the world?

It's not worth losing your job over something so petty. Even though it may not have anything to do with your job (since it's more personal not professional) , talk to your superior about it. Getting revenge at the work place is not a good idea.