Ok, the stopping distance at 30mph is about 24m ish, so she was still travelling when she hit you, and clearly was doing more than 30 when you pulled out. However, by your admission, you didn’t see her, but blame her for not seeing you. What was the speed limit of the road?
How can you prove the skid marks were heres? How good were your pictures of them? Have you emailed your pictures to the claim handler?
You realise under new rules, your insurer has only about 14 days to make all enquiries into liability if it’s going to minimise costs under the new Ministry of Justice Protocols, and so won’t be writing for Police Reports – theres never time and the police are hoplessly slow, inefficient and inadequate about this sort of thing. Your best bet might be to ask the attending police officer to make a statement.
In the absence of witnesses, and compelling proof that they were not there to be seen when you pulled out, given they clearly saw you some way before the junction to have started braking, your heading for a split on liability at best. But I say that without any of the “evidence”.