Sad but true.
The rule of law will survive the feminization of the legal profession. What is likely to change, though, is that the rule of law will be enforced outside the legal profession entirely. Over time, more and more people and organizations will see the value of living their lives and adjudicating disputes outside a silly, useless and expensive legal process.
If that sounds outlandish, just consider this: most of the time, the “rule of law” actually flourishes among street gangs.