What Causes Pain In Wrist After An Injury?

2 days ago i was on my friends skateboard and i fell back and put my hands out to catch myself. my wrist bent back and started to really hurt. it never turned purple or swelled and i can lift things with it. i have iced it and it only hurts when you touch it or if i put a lot of weight on it. if u are looking at where your pulse it on your wrist it hurts a little to the left of that. right where the folds form if u bend your wrist. also if i bend it completely back it feals kind of stiff and barely hurts. i dont want to go to the doctor or emergency room because i believe i just sprained it but is there any chance it is broken or fractured!?!?