The Place of Perfection was where Katarina believed she should spend the afterlife. Unable to comprehend her experiences travelling through time with the First Doctor, she rationalised her travels as her soul being transported by a god to the Underworld, after dying during the Fall of Troy.
Katarina believed her own Place of Perfection would be in the Asphodel Meadows, where the souls of ordinary individuals not capable of greatness would go. In one alternate timeline in which the planet of Urbinia was attacked by the Daleks, Katarina believed them to be evil spirits doing battle with the Doctor to claim her soul. There, Katarina met Jamie McCrimmon, who opined that her modest assessment of her own self-worth was too harsh. Katarina was eventually convinced that she was still alive but the timeline was ultimately averted. (AUDIO: Daughter of the Gods [+]Loading...["Daughter of the Gods (audio story)"])
Katarina's real death occurred above the Prison planet of Desperus, where she ejected herself out of the airlock of the Spar to prevent the escaped criminal, Kirksen, from hijacking the ship. The Doctor delivered a eulogy, in which he professed his hope that she had found her Place of Perfection. (TV: The Daleks' Master Plan [+]Loading...["The Daleks' Master Plan (TV story)"])
Finding herself in the Underworld, Katarina was ferried down the River Styx to the Place of Judgement. Her soul was judged "unclean" as she had taken her own life, and the Judges of the Dead, among them Hades, judged her neither good nor evil, sentencing her to spend eternity wandering the fields with the others who have sinned. However, Persephone and a manifestation of the Doctor intervened, arguing that Katarina had given her own life to save others. Hades relented and Katarina was allowed to enter the paradise of the Elysian Fields. (PROSE: Katarina in the Underworld [+]Loading...["Katarina in the Underworld (short story)"])