If you downloaded Millenium 3 before November 11, I understand that this quest could not be completed on normal mode. If that's your situation, uninstall, download the current version, and reinstall the game. You should be able to complete all the library quests.
If you have the current version of the game, and the lady is saying "you still have goals," that means you still have quests to complete. You have to do all the quests in the game, not just all the library quests.
Good luck!
