I hypothesized in one of my previous posts that women didn’t come to bais din “because of kovod it wouldn’t pas for them to argue in front of a bais din.”
Actually the precise reason the Meforshim say that we do not disgrace an honorable woman to come to bais din is found in the meforesh that says The same (reason as for a woman) applies to a Chacham for whom it is degrading to argue with Amei ha’Aretz in Beis Din
See kasha’s post for sources