There will be exactly two options:
Pay more, or wait longer.
There's no avoiding simple economics.
Pay more, or wait longer.
There's no avoiding simple economics.
You cannot give a gender more money to do the same job with the criteria being a specific gender. That is blatantly illegal.
But whether the law is enforced is a whole other question.
A simple solution then is to make the feature a `custom request for the same sex driver/passenger`. Then males can request males and females can request females. Or they (driver/passenger) can simply use it as
Imagine if I were to make an analogous claim with races rather than genders. You wouldn't even care whether there were any kind of statistical basis for the claim (I am explicitly not claiming any statistical basis for any claim of that form). You would immediately and correctly deem the claim to be racist.
Feeling threatened by the mere existence of another person, on the basis of that person's sex, race or anything else is not generally considered a rational or socially acceptable response. It's the sort of thing that results either from past life trauma or from explicit bigotry.
1) Just not socialize
2) Do things under the table.
Let people pay the premium for what they want. Sometimes there are good reasons for it. Stop pretending to have an apodictic understanding of both the world and morality.
Women drivers who are willing to drive men will have a larger customer pool than men can get. I would expect this to result in fewer male drivers.