I'm not sure exactly what that could be, but it sounds frightening! Does the steering wheel twitch in your hands?
Things that may cause a shudder: wheel balance out, faulty tyre/s, warped brake rotor - you'd only notice that when braking, misaligned VCU to its support bearings, poss faulty diff mounts - commonly felt when cornering at a lowish speed and under power. It could be a diff problem or an IRD problem
Those with greater experience / knowledge will hopefully jump in here with their thoughts.
However, when I replaced my VCU & bearings I had something similar. I'd get a bit of a shudder when accelerating. Turned out I hadn't aligned the bearing to the VCU accurately. The bearings must be parallel to the VCU. I measured off each flat face of the VCU to either side of the bearing on each end - front bearing and rear bearing. I made sure that the front measurement were the same and repeated the process for the rear. Much better. Haynes manual has a useful diagram for this too.
Don't be discouraged, as with any new car there is always issues to sort out. I really like mine, comfy, quiet, and not to hungry to run. Yes I've done a lot to it too.