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When Kate was conceived I had yet to acquire a Titan Bloodline, Benladra awakened hers the same way Benladann did, by drinking a special elixir given to us inside of Skadi's Trial. But Kate didn't get to drink it back then, she wasn't given one to begin with. There isn't any of such elixir right now, and when I tried to ask the Ice Queen for it, she said she didn't have any more. And even if she did, that she wasn't going to give it away.
I tried to negotiate something with her, but she wouldn't change her mind, saying that it was going to be for her own family and disciples, who were waiting for her revival. I do remember meeting some of them in that Court where many Nation Rulers of Jotunheim gathered. They were already Titans though, so what was she even talking about? Are there even more people hiding somewhere waiting for her? Well, I should have expected as much from someone like her, I guess.