Here's what I try to analyze everytime I have some sticky issues. You cannot and should not control or show that you are annoyed of what he does. That is out of your control. He is an adult and he is responsible for his own action. You can control your own actions.
He can always date OW (D or not D, he did it anyway). You have a right to ask that he not bring OW to the house, not because you are still married, but because you are living in the house and bringing OW here would make you feel miserable and you would not want that feeling. Basically, you prefer not to see OW and you can always request that. He has his choice to honor your request or not. His choice. By the same token, I did ask my H also not to bring OW to certain places that I frequently go (like our neighborhood mall where I shop) just because I do not want to accidentally bump into them. Your choice to make the request (if it is reasonable), his choice to honor it (depending whether your H is still somewhere in the body, or he is just being an A$$ at this point).