Hybrid Incident
The Hybrid Incident was the Time Lord designation for the event in Davros attempted to create the Hybrid on Skaro. (TV: The Magician's Apprentice/The Witch's Familiar, PROSE: Dalek Combat Training Manual)
History
A day to come
Through the projections of the Matrix, the Time War-era Time Lords learnt that the Twelfth Doctor had tried to demonstrate mercy to a young Davros. Through this, they saw that he had shown some way of circumnavigating the Blinovitch Limitation Effect, allowing him to return to an exact space-time event multiple times and influencing the outcome of that event. Investigations were undertaken as to how the Doctor was able to achieve this, and discussions took place at High Council level to determine whether they constituted a breach of the First Law of Time. The Time Lords believed that the Doctor had failed in his mission, as they could find no evidence that any Daleks in their current relative time zone had any understanding of mercy. (PROSE: Dalek Combat Training Manual)
The Incident
Having somehow survived the fall of the New Dalek Empire, (PROSE: The Whoniverse) Davros, on the brink of death, remembered his encounter with the Twelfth Doctor in his childhood, and ordered Colony Sarff to bring him to him. (TV: The Magician's Apprentice) In what one account described as "the Last Night" of Davros's life (PROSE: Davros, Dark Lord of Skaro) and when he faced the Doctor again, Davros talked about the Daleks, calling them children. He admitted that even though he created them, he could not control them, claiming he could not stop them from exterminating the Doctor's friends. During this meeting, Davros showed the Doctor that he had recorded all his foe's speeches about morality. Perhaps as a taunt, Davros singled out one about killing a child who would grow up to be a "ruthless dictator who would destroy millions of lives"; the Doctor had the chance to prevent Davros from ever creating the monster known as Daleks, but had failed because of his compassion. (TV: The Magician's Apprentice)
Davros revealed the cables connected him to the life force of every Dalek. While attempting to make the Doctor feel compassion for him as part of a plan to steal his regenerative energy, Davros learned that the Doctor had saved Gallifrey from destruction at the end of the Time War. Whether sincerely or not, Davros congratulated the Doctor on saving his people, referring to his own failure to save the Kaled race from extinction. Shutting down his ocular system, Davros told the Doctor that he wanted to see one last sunrise with his own eyes. However, when the Doctor, apparently driven by compassion, released regenerative energy into the cables, Davros was quick to act; using Colony Sarff to secure the Doctor, he began siphoning regenerative energy from the Time Lord and transmitting it into every Dalek across Skaro, using some of it to renew himself and remove his reliance on the life support for survival.
However, after being saved by Missy, the Doctor revealed that he had known of Davros' plan, and had let him take the energy as part of his own plan to stop the Daleks. He then revealed that Davros' transmission of the energy into every Dalek on Skaro had included the decaying Daleks in the sewers beneath the Dalek City, who attacked and destroyed it, with Davros still inside when the roof of the infirmary collapsed on him whilst the Doctor took his leave with Clara. Missy, meanwhile, found herself surrounded by Daleks in the crumbling city, only to announce that she had a "very clever idea". (TV: The Witch's Familiar)
Aftermath
Having survived the incident, Davros recorded a "whole and true study" of Dalek history and science to ensure their purity and survival in case he ever died. In this study, he wrote that he was still connected to the life force of every Dalek, but that he had the stolen regeneration energy, making him question what may be possible in the future. He concluded his discussion by once again stating that his children were the ultimate form of life and that all other lifeforms needed to be exterminated. (PROSE: Secrets of the Dalek Laboratory)
Missy remained on Skaro for a time, adopting a Slyther as a pet. She named it Doctor and allowed it to eat the Thals she came across. (PROSE: Postcards from the Universe) Eventually, she escaped the Daleks using "a teleport, stairs, three bald lies, a classical ballet routine, and a leap into the Time Vortex", only for her TARDIS to end up in a temporal embrace with a Gryphon space-time vessel. There, she was surpised to learn the captain had no knowledge of the Dalek Empire, yet she dropped the subject. (PROSE: The Liar, the Glitch and the War Zone) Missy eventually came across the Doctor again when she was subjected to the Fatality Index. During this encounter she stated that the "word among the Daleks" was that the Doctor had retired to "domestic bliss" on Darillium. (TV: Extremis)