You will find that any emotional response your body has will affect the baby, when I get super stressed out my little bean kicks like mad as if to remind me she is in there and to calm down!
The car incident was obviously a frightening experience and I would be exactly the same! Since finding out that I'm pregnant I am so protective of my partner and terrified of losing him! I'm sure it's normal as our hormones go crazy and we want to protect the ones we love (maternal instincts kicking in)
Hope you feel better soon, and try not to worry anymore xx
Baby will be fine. They will react to our emotions sometimes.