That's a bit poor they won't address trauma until they've ruled out ASD.
I understand the routines and rigidity. I've lived through similar. The routines that almost become ritualised nearly broke me.
We are much further along now. I can observe that high anxiety pushes rigidity and routines into an almost ritual behaviour. I strongly suspect she's feeling her world is completely out of her control and this is what's driving her anxiety, her desire to regain some control.
Are they questioning attachment disorder alongside? This is usually looked into as it can present in a similar way to ASD and can occur with DV.
A friend of mine works with families who's children have attachment disorders. She said something to me the other day that spoke volumes.
It's not hard to treat an attachment disorder (and others too). You as her main caregiver are encouraged to form a special bond.
She needs to know you are there for her no matter what.
Every day the aim is to make a positive connection. It can be just one. One act of kindness between you, one moment that the two of you connect. It can be though a game, a treat, a hug, watching a movie, baking together, kind words, reading a book, tucking her into bed, washing her hair.
I know with her current behaviour this is the farthest thing you'll want to do, but this therapy works for all children in all circumstances. It's building positive bonds, so when she feels vulnerable and can't express herself except through anger she will have more to protect her, more to draw upon, she will feel more secure.
You are her significant care giver, you are the one that loves her, she needs this from you, and I truly understand how hard this is.
Have you received support yourself? If you were in a DV situation only a few years ago have you had extended counselling and support?
There are agencies funded by your LA that can help.
Try googling Family Partnership and your LA.
There is also Home start that should be able to help, they have very experienced therapists, and Wonans Aid too.
You need support for you so you can support her. This will work out, but you need some help to get through.