I came home one night in a pouring rain (been a long time since I've seen that...) to find my cross-street neighbor holding an umbrella and flashlight for young people (guy and gal,obvously on a date gone horribly wrong) who were trying to change a tire in her very steep driveway ramp. They'd jacked it up, removed the wheel, and the scissor jack promptly tilted over because they hadn't chocked the other side, and there was no way to fit the scissor jack back under the car to lift it again.
I went back and got my floor jack into the Jeep, hauled it across the street, and it was *just* low enough to get under the unibody rail of their Accord and pick it back up (AFTER I chocked a wheel). It had landed on the rotor just like yours, and as far as I could tell there was no damage worse than the bent dust shield, which I pried back off the rotor. It sure shouldn't hurt your alignment, but it is true that brake rotors are not made to support weight on their edges. My guess is that in the WORST case you need a new rotor.
PS- to add insult to injury, the poor guy's spare was nearly flat, so invited them across the street to where my air compressor hose would reach. I think I earned some Samaritan points that night. I wonder if the girl ever called him back again? ;-) Actually she was a trooper, hauling the spare around, etc.