Is she working with both children? If not, is the younger one constantly interrupting sessions? I would definitely address it (out of earshot if the children). As for the dog, it depends on your personal preferences. If you do not like pets in the house or if he is distracting, then no. But if you are an animal lover and told her it was fine, then you might need to explain to her why your decision has changed—personally, I wouldn’t allow it though I love animals. Unless she was a miracle worker, I would get rid of her.

I guess the hard part is yes I do complain about my kids not getting​ along but I also am not psychic about what happens at my child's school

Express my feelings about the behavior first. If nothing changes, I'd find another therapist. They are teaching the wrong behavior probably unknowingly, and bringing bad energy.

She does have children, but they are adults now.

Yes the 6 year old is in the waiting room and no there really isn't a option for her to be elsewhere. She does not interrupt the session but the problem is I can't even talk about their quarrels without her saying the children should not play together, do stuff together, etc. They already have lots of activities where the other is not present; they go to different schools, ride different buses etc. I don't want to teach my child that avoidance is ok just because things are hard or people disagree. The dog doesn't come to our house, it comes to her work with her. I just think it is a weird situation.