Should I sue?

Last night on my way home from work i got into an accident. I was driving in the left lane and there was a lady in the right lane about a cars length in front of me. She tried making a left turn from the right lane in front of me driving down the highway to get to the gas station on the left side of the road.(cant resist that bargain gas <rolls eyes>) I was going 55 at the time and slammed on my brakes but still probably hit her around 45MPH.

I have no major physical injuries, but my back and neck are all screwed up from the whiplash and i have to stay out of work for a while. Nothing was broken though luckily. The only thing that scares me is possibly having chronic pain for the rest of my life because of this. Heres my truck and her car.

The cops determined the accident was completely her fault and there was nothing I could have done to avoid it. I’ve never been in an accident or anything before so i really dont know, but is this something i should sue for?