Society would be the old West all over again. You’re counting on human beings to do the right thing; that only happens now and then, and it’s worse now than it was then.
Assemblies of God, Church of God, and most Pentecostal churches, have had women preachers for over 100 years, and you can’t get more conservative than those churches.
doctrinal issues like women’s ordination, homosexuality, and abortion—three ideologies that always seem to accompany each other
I’m not Baptist, but I attend a church with a woman pastor, and my previous pastor was also a woman. These churches could not be more conservative. Believe homosexuality is a sin, abortion is sin, pornography, and everything else the Bible calls sin. A more complete response is found here: https://ag.org/Beliefs/Position-Papers/The-Role-of-Women-in-Ministry