Goofy bike lane configuration right-of-way
I would say she is at fault. Here is why:


Since she was driving a car and you were dragged for some distance after the collision it appears she was traveling at a higher speed and thus was from behind. The responsibility typically falls on the one from behind. Even if the contact wasn't on your rear it sounds a lot like rear-ender.
A bike lane is a lane of traffic and has the same rights as other forms of traffic. Yes, @Willeke is correct this is poor street design, but this is not your fault. You were traveling straight and the car was the one initiating a turn and it was her responsibility to pay attention necessary to complete that turn safely. Yes, perhaps you should of paid some attention too, I hate it, but I watch out constantly for cars doing bad things. Convincing others that those who done did the bad things are at fault will be the hard part, as there is a contention that bicycles are toys not destined for the roads. But, this is not what the law says. Please fight for your (and our) rights.
Harm done. Sadly the United States does seem to have law or the general mentality to structure things this way, but I think those wielding a deadly force (like a car) have a responsibility to those more vulnerable like pedestrians and those on bikes. You may be able to use this very valid point to garner some compassion, but your mileage may vary.


Good luck.