During Shadow Weaver's death, she showed true care for both Catra and Adora by sacrificing herself to the First Ones' security monster to buy the girls time.

Does Adora die?

After battling Horde Prime and various other illusions, Adora finally reached the fail safe and was broken. ... Since Adora was in her She-Ra form she didn't die and stopped the weapon. Etheria was saved and even Horde Prime was destroyed in the end. Adora was able to stop the weapon thanks to the power of love.

Why is Shadow Weaver so obsessed with Adora?

She decided to take Adora in as her ward because she saw potential in the child. As Adora grew Shadow Weaver acted like a commanding officer and mother to her, albeit not a nice one. She taught Adora how to read, tie her boots, how to fight and be victorious. Shadow Weaver always saw Adora as her favorite.