I really only see a couple of options here.
Drunk Paul forgot to turn on the alarm system.
Drunk Paul let the dude in.
Drunk Paul doesn’t have a security system that alerts police - which is not plausible.
Sounds like Pelosi brought the sex worker in, when something didn’t go as Pelosi wanted it to go he tried to get the sex worker to just leave but the worker wanted to get paid in full so Pelosi tried to frame the guy when Pelosi called 911 to get assistance ridding himself of the invited sex worker. Being a drunk, Pelosi did not realize breaking a window with a hammer, from the inside of the house, results inn the glass going outside not inside. Of course, if that is what happened the story will never come out ... and this sexd worker did not kill himself, for future reference.