I don’t think the picture is necessarily sexist it’s just what is seen in everyday life. Majority of nurses are female and a many doctors are male but I think there are more female doctors than male nurses.
But that’s the point here isn’t? The reinforcement of what has been stereotypically true?
Kindly, a huge reason we see more women as nurses and more men as doctors has very sexist origins - ones that barred women from medical colleges and practicing medicine, that played up on the stereotypes that women were the “kinder, gentler sex” and thus should be the ones to change dressings and bedpans while the men used their brains to diagnose, their “steady, strong hands” to cut into patients, and so on. Ones that mean that what we see now as the “everyday” is still pervasive. Where I still people say “well, “naturally” women want to go into nursing so they can take care of their own kids - doctors are never home!”. Odd that because actually I don’t see that is how it happens at all. My doctor friends, male and female, while has more rigorous schooling I agree all tend to have more flexibility in their schedule as they chose specialties that allowed that, and still earn very high incomes - in some places (where care is not socialized) almost whatever they demand to be paid without question because everyone knows if they don’t pay them they will go somewhere else leaving a hospital without a speciality, a small area without a family doctor, etc. Where there is socialized/universal healthcare, it is often the harder they work (ie more patients they see, the more billing they do back to government) the more they get paid. They also get wines and dined by pharma reps, medical equipment reps. While the nurses are the ones working 4+ 12-hour shifts a week, get paid the same no matter how many patients they see on shift, how many IVs they stuck in, or bed pans they change, and often ending up in strikes when their wages are frozen.
Sure, I have experience with and also personally know some male nurses and some female doctors. And no one is saying nursing is “easy” here, the point is nursing is generally less academically rigorous, seen as less “prestigious”, and deserving of less pay, even where nurses are acting nurse practitioners and have taken on more and more of the work of doctors.
So, just because something is seen “everyday” does not mean it is lacking sexism, that it is a “good thing”, or that we should roll over and accept it as the status quo.