And your argument about doctors does not hold water. 52% of registered GPs in the UK are female.
As a PP said, on the grand scheme of graduate medicine, a GP is the entry level job for someone with a medicine degree.
Within most professions, the figures tend to reflect female dominance in the entry level of the field, with male dominance once the large salaries requiring additional qualifications are taken into account.
GPs are pretty evenly split, 52/48%
For consultant registrars, the female rate drops to 32%
And once you get up into the specialist roles, 89.9% of surgeons are male.
Similarly, in the legal profession:
89.9% of paralegals are female, the job is seen largely as a cop out or failure for a male.
61.5% of Solicitors are female
But a massive 82% of judges are male.
The percentages are shifting gradually, but I can't see it ever being balanced anywhere near evenly. Whether this is down to discrimination, career progression stalling due to family commitments, or simply women just not wanting those jobs, I don't know.