Her situation was no different from any other working parent. We aren't "put into" it. Every working parent has to take into account whether they are reliably going to be able to pick up their children when necessary and make arrangements accordingly. I, for instance, have an arrangement with a childminder whereby I or my DH tries to collect by 6 but the minder accepts that we might be late sometimes and we pay a bit extra on those days. It has bugger all to do with misogyny, it's just the reality of working when you have children, whatever sex you are.
In this case, the doctor could have, for instance, arranged from someone else to be available to pick up the kids, e.g.. her children' father, a childminder or au pair, or she could have employed someone like a childminder or nanny with more flexibility, or specified to her employers that she was never going to be available for the last two sessions so they paid her less.
You haven't even read the report properly - there isn't one less practising GP, there is one less for a five month period. She can resume work after that.