The most interesting thing to come out of this series is going to be how they write Asoka out of Star Wars Canon when the series is over. It is a children's show, but we all already know that Anakin kills everyone in the temple and hunts the rest of the Jedi down to Obi-wan, Yoda, Luke, and a handful of others in the EU.
This essentially means they will need to find a clever way to kill her or make her disappear permanently, otherwise it is essentially Canon that he kills her in the Jedi purge at the end of the Clone Wars.
Considering she is not anywhere in the third movie, she'll at least have to disappear before Palpatine gets kidnapped. After her disappearance it is seemingly never mentioned again that he had a Padawan at any time, which is why I hate her character at face value regardless of her qualities. Even if she was killed or disappeared, it is odd that something as important as a Padawan would never be mentioned again or that she wouldn't confront him as Vader since she would have a connection to him almost as close as Obi-wan.