Turns out it's not going to be a big deal. I apparently had gotten rear-ended and the person who was behind me had tried to report it, so it was initially reported as a hit and run. When the cop told me that, I looked at my bumper again and there was a very minor scuff on the back. I told him that I was so focused on avoiding the potential accident that I didn't even feel the bump from behind. I knew I'd successfully avoided hitting the guy in front of me and so I thought everything was fine and kept going. The "damage" to my car isn't worth replacing a back bumper (no dents or cracks, just a scuff), so I won't be sticking it to her on that. Just going to exchange insurance info with her, since she did give hers to a beat cop in the report.
Crisis averted. I'm not going to prison. So you guys are just going to have to put up with me for awhile longer.