Unlikely. The landlord likely knows that Cobes is a retard and that retards by nature are easily taken advantage of. We don't have live streams from the other apartments at The Conquistador, but considering it's low-rent housing in Casper, WY, I'm gonna guess that this shit is peanuts compared to what the police and landlord have seen. No physical violence, for one, and that's huge.
She doesn't have a mile-long criminal record, afaik, unlike other cows, which means that despite her pterodactyl-like screeching and vague threats she probably doesn't ever follow through. She's loud and destructive, but not criminal level. Hopefully the stress from having so many eyes on her for the first time won't push her to do something actually scary to Cobes.
But yeah, I imagine he might get a warning about houseguests and a Talking To from Clint if this goes majorly sideways, but I think Cobes is pretty safely housed.