Immediately after landing on Serenno, Count Dooku levitated the unconscious Duchess to his dungeon, mobilitating a team of medical droids to try and save her. It was tantamount to keep this fact from everyone for the time being, especially from Sidious, the very reason he was enacting preemptive measures and backup plans.
The woman's conditions were critical, and chances were that she wouldn't make it, for her pH was already very acidic from the trauma, some of her internal organs badly damaged. Nonetheless, Dooku hoped she would recover, and "help" him carry out his plans. By helping, of course, he meant passively, as his hostage, though Dooku trusted he could as much as convince her of collaborating for his cause. Perhaps, provided with the right incentives and information, she would be enlightened and not oppose stubborn resistance. However, this wouldn't be the case if she turned out to be anything like Kenobi, which was highly likely.
Over the course of the next weeks, Satine had multiple near-encounters with death, always managing to pull it through by a hair's breadth. However, the more time passed, the stabler she became.
As the days went by, Dooku became aware that secretly holding Kryze captive was a move smarter than he'd previously envisaged. On top of being a woman of power, and a tool of influence for his potential ally Obi-Wan Kenobi, the now former Duchess of Mandalore was pregnant with a precious commodity: a Force sensitive human. The fetus (then embryo) had miraculously survived the darksaber's destructive heat, managing to stay put throughout all of Kryze's turbulent recovery, a really good sign of strength and endurance, according to Dooku. This opened up new, interesting scenarios for the Sith: a baby could mean a potential future apprentice, as well as an additional device to manipulate Kenobi into joining him.
It would take Satine two full months to regain consciousness and stay awake, little by little initially, for longer stretches of time subsequently. Her memories slowly coming back at her, eventually she became capable of facing the complicated situation she was in: a mix of heartfelt gratitude, disdain and diffidence towards Dooku; shock, surprise and fear upon waking up to a bulging, live belly.
Satine couldn't exactly say Dooku treated her badly. She was given spacious quarters. From her windows, she could admire Serenno's lush forests. She was never short of food, drink, clothing or medical care. Yet, she had been stripped of her freedom. She did find herself in a golden cage, but this didn't erase the fundamental fact that she was, indeed, in a cage. What would be of Mandalore, of Obi-Wan, of the galaxy, of her friends and now, of her child, tormented her on a daily basis. On top of that, one had to consider the subtle psychological pressure Dooku subjected her to. She couldn't deny the Count had manners, but even though he was far from being brutish and uncouth, he didn't miss a chance to try and probe her mind, attempting to gain information about herself, and Obi-Wan. She could never let her guard down.