I think you can choose a different mediator. Keep your lawyer, but find someone who is fair.
It's OK to feel your feelings. Sometimes anger is a healthy reaction to having our boundaries violated. But remember, she could just be pushing your buttons. Anger has a way of boomeranging back on us and making us lose ground. Avoiding anger is not really about "winning her back" it's about being decent, showing love, yet maintaining healthy boundaries.
As MC said, you can hold your ground in a kind and decent way.
And yes, your comments were a bit snarky.
Yes, I may have LOTR dolls, but, unlike, MC, I don't wear lime-green spandex.