Think about it- it’s all the mindset. Be honest with yourself- would you listen equally, as a gut reaction, to a rav and a rebbetzin?
The Sergeant Jackrum paradox.
I hear where you are coming from, that a woman actually needs to be right in order to be listened to, while a “Rabbi” just have to have the correct pieces of paper (and not even those will help if he says something against the party line. See: Rav Shteinman & Rabbi Lipman.)
You have a point.