Be more concerned with your character than your reputation? WRONG !
I think many of the behavioural advices in business are made for men but not that much for women. Look at this one on for example.
Women should definitley care much more about their reputation than they mostly do. Your boss, your colleagues, your empolyees and business partners are watching you all the time and they want to see you strong and self assure. They want you to give them the impression that their projects, problems, ideas and matters are in good hands.
A good impression and reputiation is the way to success, not a good character! A good character is important but don’t be stupid, ladies,show off a bit!