There's already a number of companies that do blind reviews of resumes, or applicants that intentionally hide or change their names - not sure if it makes a big difference, also because there's just less female applicants in general.
Actually, how many female software developers can't get a job nowadays?
The problem isn't that women aren't getting jobs (the market is currently in too serious of a demand for hands on keyboards for that) but that they aren't getting as good a job as you would expect from their qualifications and/or that they aren't being paid as much.
Actually, how many female software developers can't get a job nowadays?