1) Carol would never stand for that nonsense. She bargained with Jameson in her very first issue as Ms. Marvel for equal pay for a mag editor. Not to mention the avengers are heroes and they wouldn't stand for nonsense either.
2) Carol doesn't have to worry about medical procedures when she has so many friends and her physiology is beyond the average doctor anyway.
3) People telling her to smile more is relatively minor compared to the shit she's been through.
The closest she came to not being treated equally recently is because of her Kree heritage which is not sexism based.