If you think Jupiter Jones was just a "damsel in distress" the entire time, let me tell you a thing:
Jupiter Jones was a damsel. She was in distress. But she was handling it.
Jupiter Jones had no way of knowing she was about to be rescued from Titus and was doing the best she could with limited knowledge of intergalactic politics to keep Earth from being harvested. She wasn’t wringing her hands and waiting for a man to save her. She was going to save her planet.
Jupiter Jones had no way of knowing she was about to be rescued from Balem and was doing the best she could with limited knowledge of intergalactic psychopathic man-babies to keep Earth from being harvested. She tried to save her family and, seeing through the ruse because VILLAINS LIE, was willing to die to keep the deed to Earth from falling into Balem’s hands.
So no, that’s not the traditional “Shoot first, ask questions never” approach most sci-fi movies take. But it’s probably a damn sight closer to how you or I would handle sudden embroilment in intergalactic space politics. Not all heroes have to be action heroes