I'd been putting off posting this because I knew this whole thing was a fad that would blow over, but upon it's resurface I feel I must give a realistic answer. My answer's the same no matter what character came to my apartment.
First, I'd refuse to open the door because as we've discussed in the General Land Before Time section, sizing issues would mean most of the main characters are too large to fit through my door. That means I probably would be unable to guess what the giant monstrosity is, and I'd be scared out of my wits.
Then I'd be forced to watch as they slowly suffocated to death because the oxygen levels of the Mesozoic were much higher than nowadays, and they would be unable to get enough oxygen to their brain to function.
(For Ali's case in particular, the way she holds her neck would also make it impossible for her heart to pump enough blood up her neck to her brain; the vertical distance would be too long and her heart not powerful enough. That's why scientists nowadays think sauropods held their necks parallel to the ground.)
Now that I'm trapped in my apartment behind a wall of dead flesh, I'd be forced to wait until somebody cut me out, and then in the ensuing media coverage I'd get maybe a couple interviews, until public interest faded and I get kicked out of my apartment for violating the Quartering of Live Animals policy.