@Beth3625 I guess if you put a lock on the bedroom door so guests couldn't go in, that might be okay.
Otherwise, even with a closed door and instructions, people will still do dumb stuff. Our own family and friends have accidentally let our cats out because they aren't used to having to watch opening doors, etc. So, they're hauling in luggage, leaving all the doors open and then, boom, cat is outside. I can't imagine leaving them in a situation where someone who wasn't being paid to look after them would be in charge of their safety. It is also true that some guests will say they have no problem w/pets and then show up and be deathly afraid of them. But, other hosts do it and say it works fine.