I called 311 (police non-emergency) and Austin PD came out very quickly. The officer was very polite and took the report quickly. He did note that I was parked legally so there should be no problem with insurance. I called my insurance and claims will be contacting me in the morning.
Whoever did this left without leaving a note or even paint from their car on my bumper that I could tell. If, by pure grace, someone was on 25th Street around 10:30 p.m. on Wednesday the 27th and saw anything, please contact me.
Yay West Campus!
Update: The person who hit my car called it into APD around 3:30 a.m., who then called my mom. Just by pure luck, I had stepped outside- before my mom calls me- to see it before going to bed and there were three APD officers looking at my car. We exchanged information and going from there.