Last of the Time Lords (3) - S3-E13
Deliberate mistake: The Master uses his laser screwdriver to suspend the Doctor's ability to regenerate. While he is in fast motion, in a close-up you can briefly see Lucy's arms in fast motion as well. (00:12:20)
Deliberate mistake: The Globe Theatre is shown staging performances at night. In actuality, they performed during the day, when there was enough light, since this was pre-electricity. This was done both to make the climax of the episode scarier and because they shot on location in the real Globe, which still shows its plays during the day, and thus they didn't have a lot of time to shoot during the day there.
Chosen answer: 1) When Stephen Moffat took over he ignored a lot of what had been developed before (there is not in-universe answer). 2) It would have killed Rose, so the Doctor absorbed the energy. His body regenerated before the energy could do a significant amount of damage that would prevent regeneration.