Read Numbers 12. In it, Aaron and Miriam begin speaking against Moses because Moses married a Gentile woman. Now, by faith we know that God doesn't hate women or view them as second-class citizens to men. However, when God confronted Aaron and Miriam for speaking against Moses, He only punished Miriam (harshly) but did not punish Aaron at all. So, either God does hate women... or something else was going on that the Bible doesn't explain to us. By faith, we know God doesn't hate women, therefore, the only real answer is that something else was going on (and I know a lot of christians hate digging for hidden gems and want to simplify everything because they're lazy).
God cursed Miriam with leprosy. (He was ticked.) When Moses and Aaron begged God to heal her, God reconsidered and told Moses, "If her father had spit in her face, would she not have been in disgrace for seven days? Confine her outside the camp for seven days; after that she can be brought back." God was so angry at Miriam that at the time He didn't have a plan for her healing. Moses had to beg Him first. He responded that if Miriam's father had spit in her face, she would have to be rejected for seven days. So, I don't want to force you think (thinking (and finding answers and mysteries) is fun for me, but not for most others), but do you know what it would take for a loving father to spit in his daughter's face? Fathers favor daughters naturally. Miriam would have to have insulted and disrespected her dad to a really high level for him to spit in her face and have her isolated for seven whole days.
So, why did Miriam and Aaron say the same bad things about Moses and God was in fact angry at both of them but was angrier at Miriam?
Alternate theory on that episode: Aaron was the high priest and could not have performed his priestly duties if he was made unclean by leprosy. That was why God didn't strike Aaron with leprosy as well, because Aaron needed to be able to perform his duties as high priest (and apparently he was smart enough that he got the message and stopped all his complaining too when his sister was made a leper). And there's nothing to say that God didn't have a plan for her healing apart from Moses and Aaron's intercession; they prayed so quick we don't have any insight into whether there was a plan b or not, and we're also talking the forming of the nation; the nation was watching and God's and Moses's authority were on the line.
3 More intersting side notes on that passage (since I bothered to go read it to make sure I had my details right). 1) The Bible never says that she was healed; we assume she was and it's probably a fair assumption but we don't know if she was healed immediately and had to wait outside the camp for 7 days or if she was healed on the 7th day or sometime during that week. 2) The substance mentioned of their criticism was Moses' choice of wife 3) Aaron begged Moses for her healing; Moses begged God.
Sorry but don't think this has anything to do with divisions or distinctions between men and women. And the rest of your post that I didn't bother quoting was just a steaming pile of unbiblical equine defecation.