Rudeness by who?
If a dom if rude in how they are behaving, my opinion is they are a beta, and doesn't deserve the submission. I will typically dominate a rude dom. A dominant should be confident and have the submissive want to listen to him, not have to make or force them to. If he is rude it just makes me think of an entitled brat who needs to be put in his place. There is no way you can be rude, and demand respect and trust, which is the basis of a dom/sub dynamic. Submission is earned, it isn't granted just because you demand it.
Rudeness by a submissive, depending on the situation, could just be a play on being a brat, and is looking for some form of punishment. That is a big IF situation though. If it wasn't agreed on before then it isn't your place to assume and issue punishment. If it is a hired submissive, then you likely don't have the trust or authority to issue punishment unless the sub has granted you the ok. If it was agreed upon that you may, the punishments would have to be discussed previously and the sub will let you know if you are crossing a line at which point you stop.
Just because you want to dominate a submissive doesn't mean you have the authority to. In most true dom/sub relationships the sub names her limits and the dom stays within the subs boundaries, a safe word is used and the sub calls the shots when it is enough and is respected in what they have to say. Though this may be different in serious dom/sub relationships that the limits have been previously agreed upon that they may be tested, but even then there generally has to be a lot of trust, faith, and confidence in the dominant by the submissive to be able to allow the breech of limits.
Kinky play can be dangerous if it isn't done right and if your looking to be a dominant then you need to do your homework on how to be a good dominant, otherwise your likely just abusing a submissive person and causing emotional and mental trauma to them. If a submissive is being rude, there's a good chance you haven't earned that submission your demanding, and forcing it isn't the way to gain true submission. Getting them to want to obey is how you have their true submission.