Primary school teaching and nursing are low status professions, and they're both dominated by women. If you're going to try and explain gender imbalances exclusively via reference to status you need to explain why it's not universally predictive.
Lots of people have spent lots of time looking at this. What's predictive is working with systems vs people. Jobs that involve tinkering with machines all day = men. Jobs that involve people and especially with a caring aspect to it = women. Finance is largely about abstract "machines" like markets, where you never see the faces of the people you're trading with = men.
Not many jobs are totally balanced 50/50 men/women, but those that are tend to be perceived as having a blend of systems/people work e.g. sales (where sales includes jobs like tele-sales or travelling sales).
