Swearing & Cops?!

Okay something happened and basically this lady wanted revenge so she complained to the cops that this gal swore at her, based on that, do the police have the right to take action? Meaning, if you swear at a person, is that a good enough reason to get the cops involved? What's the worst thing that the cops could do to that gal, although she didn't really swear.. but the lady claimed that she did.

Is there any Omani rule, that states that swearing is a crime? Also, is it possible to consider it a crime without having proof. I mean, how will the cops know if the lady isn't fabricating the story?