That right there is unlawful entry. If they do not identify themselves and then still decide to storm in through the door, in any homeowners view, they are a intruder and can legally be shot.
The guy didn't live there. He'd announced his intention. His stuff was out, and if it wasn't out he was entitled to his day in court to make his claim and in most places even have the Sheriff HELP HIM remove it.
The woman asked the cops to come to her place ~ and her right is paramount in this case. Don't ignore her right. The police actions follow directly from it.
The cops came. A guy jumped them at the door.
He was certainly not trying to defend her!
You are applying standards not found everywhere. Some of the state laws don’t care who opened the door, nor even if the intruder is there lawfully.