This seems tricky. Both of you don't have the right of way. The main traffic does. She is also supposed to wait until it is safe to enter the main traffic from the side street. You however were already in the main traffic however you were in an island turning lane. Was it an island or a proper marked turning lane?
If it was a marked turning lane I would say you have the right of way as you are on the main road and she is entering from a side street.
Find out the nuances of who had right of way, but it seems to me you do. Turning lanes can also back up quite easily especially with the amount of traffic on a main road, and turning lanes are often short, often also interchanging from being offered to oncoming and you traffic flow. So even if there was an island, marked or not, it is often shared and space is limited to sit and wait for extended periods of time.
However on a side street, they have the luxury of waiting longer until traffic is clear. They don't have the same traffic flow, and often they can wait longer as thay have more space behind them to line up.
That being said....she was in front of you, in your forward field of vision and you hit her! Had she hit you it would have been different. A question to ask, is whether it is your obligation to not only be aware of oncoming (as you intend to cross that), but traffic from all angles. On her part however she would have had to have been aware of both directions of flow for certain and would have seen you waiting to make your turn. She needn't have been aware of the driveway your were going toward because her primary concern should have been you! and both flows of traffic, and any pedestrian that may have crossed her side street.
It appears to me, that she got impatient and calculated you would be there for a while and tried to sneak ahead of you. She propably calculated that (your oncoming) traffic was clear to enter, but may have seen or assumed the drive way you intended to enter may have been blocked and therefore you should not have proceeded.
If she can prove that you should not have proceeded, then she may argue your right of way was forfeited as you were forced to continue to wait, even though (your) oncoming traffic was clear. Essentially, if it was clear for her, but not clear for you, her right of way may have superseded yours.
If you can prove your drive way was clear, oncoming was clear, then you should have had right of way. That's how I see it anyways.