I am not sure what your rights are either. Who is selling the place, the private owner or a real estate agent? Who is making the appointments? Who have you spoken with about the problem? The homeowners or the real estate agent? Also I do not know what your lease says about your landlord's right to access to the house.

I know that if I were selling my place I would set it up with the real estate agent so that it would be shown by appointment only, and I would need to know at least by 6:00 the night before. I would then definitely make arrangements to take my dog out of the house for the morning, or day or whatever. I wouldn't want people going through the house upsetting her and I certainly wouldn't want to take any chance that she would become upset and run out the door when the strange people were coming or leaving. I just don't want people I don't know there with her, when I am there to protect/comfort her. They may be able to make all of the appointments in the evening when you are home.

I wish you luck. It is really a shame that they feel they have to have people coming through now, instead of waiting a few weeks. Maybe you can work something out with the real estate agent where she will let you know the day before she brings someone through the place. Sorry.