I always thought that intro scene with her and Stark was more of a commentary on his character flaws and weaknesses, not about her. She is clearly competent at her job and writes a scathing report on how he is not fit for the Avengers Project at the end.
Then again professional grievance pushers gotta make up a grievance about something.
How who,isn’t fit? You mean Tony stark? If so, WY he did she think him unfit?