I probably need to clear a few things up. I tend to brief summary everything and leave people thinking up is down. I'm a bit ill atm, I've had a cold for the last three and also not sat for the last few days and my cold has hit me like a tonne of bricks since dinner time, so I'm now dosed up with Night Nurse waiting for dd1 to finish her "end of SATs bubble bath" so I can go to bed, so I might not make a lot of sense, but I'm stuck here waiting for her, so might as well try, in between yelling "You're relaxed enough now go to bed" of course 
I used the term mediator because I am lazy and it was quicker than explaining this woman's full role. She was there to mediate, so through laziness I called her a mediator. She is not an official mediator. There are no issues around contact or money or custody. The issue is the way we communicate with each other and a big part of the conflict between us is ex's attitude towards my care of the children, the number of pets I have and the "smell" of my house. He rarely mentions tidiness, just smell and germs, the germs he says are caused by the number of animals, not general squalor.
I'll start from the beginning because I am too Night Nursed up to decipher what is relevant and as I said have a habit of overly shortening things and ending up saying something totally different to what I actually mean to.
Around 3 months ago ex and I were asked to come to the school to talk about dd1 and her "sadness" as the school termed, which I felt was a little ridiculous as I'd been at the school daily for two weeks at this point trying to get them to act on the bullying dd1 had been receiving (for clarity dd1 is not being bullied because she smells or because of our house. The girl bullying her is a former friend who fell out with dd1 after dd1 refused to hand over her pocket money to this girl. The name calling is centered around dd1 being spoiled and being allowed to do things that the bully is not allowed to do, such as dye her hair during the holidays, she tells ex herself that she has never been called smelly and despite previously spending many weekends at our house this girl has never bullied dd1 over the supposed smell in our house) but that is all by the by I suppose.
Because ex and I have different schedules we couldn't find a time that suited everyone so we met with school separately. I explained I felt that dd1 was sad because she was being bullied and asked again what they intended to do to solve that.
I don't know what ex said, the school are not allowed to tell me. I do know that 5 minutes after his meeting had been due to end I received a phone call from someone at the school telling me that "serious safeguarding concerns had been raised and they had no choice but to refer the matter to child services" and asking if they could come round to discuss their concerns. I explained I was on my way to work. Which was true and advised of when I finished.
Once I'd finished work the lady from the school was on my doorstep waiting for me. I let her in. She had paperwork to do so we walked through the living room and into the dining room, from there you can see the kitchen, so she saw a fair bit of the house and commented that from what she could see there was no issue and I had nothing to worry about but she was duty bound to report the issues. She filled in her paperwork and left.
An hour later I a call from SS who explained that there had been some concerns raised but that they were aware a school official had been in my house that day and was "more than satisfied" with the home conditions and had no issues around the children's well being at school, so they didn't feel the need to pass it on to SS but asked if I'd like a family support worker (a step down from a SW they told me) to come round and have a chat about anything I needed support with. I declined. They then explained that whilst it was my right to decline help, they had to visit the house and officially address the concerns. They arranged for someone from a team called "Families in Need" to come round and do a CAF report.
The CAF report happened the next day and I had a chat with the lady from Families in Need who identified that my only "need" was my need to resolve this conflict with ex and support in managing his behaviour and reducing the impact of our issues on the children. They were happy that the situation in the house did not need escalating to SS or preventative care and that I was managing in all other areas bar coping with ex. They put me in touch with a service called Separated Families. That's who this woman was.
It is her job to help ex and myself communicate any issues we have about the children without resorting to arguing and to indicate and address and issues the children have because of the separation. Both ex and myself work with her alone. The sessions do resolve around how to deal with one another more effectively and calmly for the sake of the children.
At no point did she actively take my side. She never once said that she thought he was wrong and my house was fine. Only that it was not a safeguarding issue and therefore the only way ex could change the way he felt about the issue that he had identified as causing him the most stress and the source of the conflict was to change his own behaviour to it.
She did want to move on to address other issues but he kept coming back to that. She didn't really pick up on much I said because I didn't really get to say much, ex just went on and on and on and if I'm honest I was happy to just sit back and enjoy the show, although I realise that's not helpful and not the aim of the joint sessions, it did feel good to finally know that his problems are his problems and not mine to fix and it was satisfying to watch him show himself for what he is. She did make sure I had a few chances to speak and respond to things he was saying and she made sure he did not interrupt.
Fuck that's long
And probably way to detailed.