Taylor v. Taintor IIRC allows them to only enter the surety's (fugative) property without a warrant if the surety has waived those rights as part of his release but they must gain permission from any third party or any other location since those people did not sign away their rights.

I assume this is what happened here from their trickery, lies and deception. They refused to show a warrant and refused to identify themselves. A "crime" which puts regular people into jail.

If the women wouldn't of opened the door they probably wouldn't of been able to get in or they would have to of kicked the door in.

Once you open the door to talk to the police you've given them permission to come in. Talk to them through the door without opening it. The cop even tells her she opened the door he can come in.

If unidentified people are breaking through your front door you have to guess whether they are good or bad guys.