If that is the case, any position in the Presbyterian church would be open to women, inasmuch as it is a lay position.
The Catholic church has hordes of women in similar (lay) leadership positions: DRE's, prayer group and Bible study leaders, parish administrators, canon lawyers, diocesan chancellors, Vatican ambassadors, maybe even judges on canonical tribunes if I'm not mistaken.
[Off topic, but I wonder, even, if women could not be Cardinals. At present all Cardinals are Bishops, but the office of Cardinal is not, strictly speaking, defined in the NT, nor is it some function of the priesthood: so is there any reason women could not be electors in a papal conclave??]
In any case, not priests. That's something else.
You’re incorrect here. Presbyterians interpret the same passage we use to refer to priests in reference to their pastors. Elders as overseers/Bishops.