Car Accident Injury

I was in a car accident on Friday, and the other driver was at fault. I refused medical attention at the scene because I was so shaken up that whatever physical pain I may have been feeling was completely overpowered by my anxiety, I was having a full on attack and just wanted to get home to my son. Over the weekend I was experiencing a lot of knee and back pain as a result of the accident. So my question is, will the drivers insurance cover my medical bills since I didn’t go to the dr until after the fact?