I would have waited for the cops, but when you've just been through something like that, you don't think clearly. I was hit, in about the same way, when I was a teenager. The car tried to run, but witnesses stopped the car. I was a bit jangled and wasn't thinking clearly and, like you, waved them off and said I was ok. I was scraped up and my bike had some damage, but I didn't realize it at the time.
I think it's best to wait for the cops, because immediately after an accident like this, one can't sort out the situation properly.
Hope you get better soon!!