Ah, because the cathode of the diode is not zero. Therefore, the voltage on the anode needs to rise to forward voltage bias above the cathode, which is why the diode doesn't conduct until the voltage has spiked high enough.
You know, I can stare at a problem for hours with no progress. But the minute I post something on a forum like this, it's epiphany city - even if no one has responded yet. There's gotta be some kind of psychological significance to that...