Let's just say I disagree. Don't think anyone questioned her competence because of this incident, it's clear as day who's at fault here to anyone. Even though she did nothing wrong - controversy sells, most medical practices would embrace her with open arms and I guess a lot of sportsmen would want to consult her just because of her name/her former employer. Not exactly the same situation but Müller-Wohlfahrt, Bayern's ex-head physician, has a long standing reputation of being an incompetent charlatan among fellow doctors, yet guys like Usain Bolt fly out to him every time because of his name and his name only.
Carneiro's gender is a completely different story by the way, although I don't think she'll have it as bad outside of the prehistoric grounds that are football stadiums.