Are you high?
Here is the article you cited:
Do Women Prefer Care From Female or Male Obstetrician-Gynecologists? A Study of Patient Gender Preference | The Journal of the American Osteopathic Association
Here's a screenshot of what happens when you click that link:
View attachment 238863
I literally copied the link directly from your post.
Its published in the Journal of American Osteopathic Association, in 2005. The full citation is this: The Journal of the American Osteopathic Association, August 2005, Vol. 105, 369-379.
This is the one I cited:
Gender Preference of the Obstetrician Gynecologist... : Obstetrics & Gynecology
Its published in Obsterics and Gynecology, in 2016. Full citation: Obstetrics & Gynecology:
May 2016
Here's what the link takes you to:
View attachment 238864
They are very obviously 2 separate articles. Now might the one I cited have included the one you cited in its review? Sure. But it goes beyond that as well. And they most certainly are not the same article. I'm legitimately curious why you think they are?
You're right, roughly half of women don't have a preference. But it means half does. That means if they have multiple options in doctors, they will choose a woman. Obviously if there are no women, the wait is too long, their insurance has only men in the network, or whatever that they might be OK with a guy. But it also means given a choice they will choose a female doctor. That's half of the patient population. Hardly insignificant, even allowing for factors like those I mentioned. Does it means there are unemployed male OB/GYNs out there? Of course not. Is it something that male medical students should be aware of? Absolutely. Pretty sure that was my only point.
As for the pay difference, it only factors in full time versus part time not actual hours worked. If we use the employed salaries, the male physicians would only have to work 8 more hours per week (assuming equal vacation time and whatnot) to make the hourly rate the same. But that's not even needed. Men in the article you posted spend less time with patients than women. This means they could easily see more patients/clinic day. In fact, if each male patient sees just 1 additional patient per day that makes up the difference in pay as well. Interestingly, ACOG's 2017 workforce report said "Any gender issues in compensation are caused largely by female ob-gyns desiring fewer work hours and weeks."
Oh, and something else.
That's not true anymore. Accordingly to this:
https://m.acog.org/~/media/BB3A7629943642ADA47058D0BDCD1521.pdf 58% of practicing OB/GYNs are female.