Obviously policy matters very little here; personality is king and many Americans love Trump’s personality. It’s why none of the policy arguments do much to sway anything.
People like the man, and they can dislike his policies separately, but they only dislike the policies that really impact them personally in a negative way. They like the man enough to just support whatever less visible policies he has.
I think race, gender, class, and culture have a lot to do with these preferences.
Its more common for right wing parties to elect a female leader than for left wing parties to, so if you look at leaders of countries most women are right wing. So if anything it is the left that has an issue with female leaders, not the right.
If we define "leader" as executive or legislative positions at the federal or state level, definitely not true in the US, by a pretty large margin.