The lady is still weird but knows her connection which I hope they explain it. Though at the end there it tries to get you to wonder who the real antagonist is.

As for Guilty Crown, people who love story would say the story, and people who judge the characters would say it's Shu. Personally I don't hate the show, but I'm not saying it's one of the best or one of the best stories. At least Shu isn't as bad as say, Madoka, which by the way is seriously starting to be my judge of main characters since she's the worst compared to others. Stahn's also said that Shu is like Shinji as well and you can see similarities there.

I also think some people are still comparing this to Code Geass. On the AS forums back when it started I skimmed some posts comparing GC with CG. It's like they wanted it to be the next Code Geass.