NIghtmare situation - from your desctipion of the incident, I assume you were looking to pull out of a minor road, and the other party was established on the main road?
If this is the case, and you admitted that a collision occurred, the courts (who have no clue whatsoever about insurance claims) will most liekly rule in the other party's favour.
In regards to whiplash, we are told to treat the claimants on a ''eggshell skull'' basis - ie they could be extremelely vulnerable to injuries. This incident is waht is called a Low Velocity Collision, and since the other party will be armed with medical reports, the best you'd be looking at is the court awarding her less compensation that your insurers would have offered, but don't hold your breath.
In regards to tengineering evidence, if both vehicles had not been repaired (or if images of the pre-repair condition exist), then a suitably qualified engineer would be able to comment on what vehicle was stationary at the time - however, unless you have images of the vehicles post-accident, this may simply suggest that the incident did occur, and since you would appear to have been over the white line of the assumed junction at the time, it's going to go against you.
Don;t mean to put a negative spin on this, but I deal with bent claims all day long, and these are nightmares to prove