I do see the problem.
In fact, Jeff Foxworthy developed a comedy bit aboiut the family dogs wanting to observe him and his wife being intimate . . .and how disconcerting it was. And they were his own dogs!
It ismy belief that you will lose on this one in the short run: She is attached emotionally to her dog. She is much less, or not at all, emotionally connected to you or any of her other clients. And the dog has anxiety at being separated from her.
In the short run you and other clients will lose out on this issue. In the long run, the provider (or her dog) will lose out as revenue declines.