So...why did BW completely rewrite Krogan society?

I don't see how their lore was rewritten at all.

We know that Krogan's aren't a patriarchal society, things are fairly even between the sexes. One of the great warlords, Shiagur, was a female, and we see Eve can handle herself and lead confidently in ME3.

The only reason female krogan were separated and protected was because of the genophage. However, that isn't anywhere near as much of a problem since birthrates have increased from 0.001% to 4%, which is enormous. As Krogan reproduce so quickly, a 25-50% birthrate is probably all that's needed to rival other MW species. So we can see that the Krogan aren't really on the edge of extinction anymore.

As for their culture, clan Nakmor wanted a fresh start in Andromeda free of prejudice and the harmful cultural influences the Krogan experience in the MW. They experienced a culture shift so that they can rebuild their society to what it once was, pre-nukes.

It's a natural development.

He tells the story when he's getting a checkup from Lexi, and it's revealed that he's lost a lot of redundant organs and has some prosthetics.  Apparently, he had a lot of problems adapting to them, and it was a really dark time in his life - it sounds like he was ready to give up when Kesh was placed in his arms.  The point is that Drack has had quite a different life story than many other krogan, but people don't seem to take issue with that.  It's also worth noting that most of what we know about krogan culture from MET was centered on clan Urdnot, and Wrex tells us that each clan has its own unique traditions.

I found reading the terminals around the Eladaan colony to be pretty enlightening and entertaining.  Some of the adjustments they're going through - learning how to court, new father's groups, etc. - really illustrate a people going through some cultural shifts.

Protected or fought over like pawns? Eve seems to think it's more of the latter.

In any case, the genophage actually adjusted their viable fertility rate to a level designed to maintain their current population. Any increase in viability should allow their numbers to grow.

They're mostly Nakmor, but I did talk to one Urdnot down at the bar, in the area where Morda hangs out.

That's a fair point.

If that really is the case then there's no reason female Krogan shouldn't be fighting, especially when birthrates have increased exponentially as they have done.

Bio's done this in Dragon Age a lot. You get a little information about some culture or bit of history, only to find out later that jumping to big conclusions based on the little bit you knew took you completely off track.

BioWare forgot everything, or maybe they hired William C. Dietz as their lore consultant?

before MEA, the male krogans were warriors and the female krogans stay at home, but now Bioware wanted to please the feminazis, so now there are females korgans warriors and rulers

Well yes but Kesh was a special case anyway, right? Drack mentions that she was an outcast of sorts IIRC and that a shaman told him either he takes care of her or she'll basically get dumped. So it wasn't a normal upbringing anyway.
We don't really know how often something like this used to happen. Maybe it's rare but still an established thing, who knows?
As far as I know, we also don't know how old Kesh is exactly. We do know that she was already born with the genophage, so after the Krogan rebellions but we don't really know how much after (I may be wrong on this, maybe we do know and I missed it). If it was fairly shortly after the genphage, maybe the isolation of the females and that whole segregated upbringing wasn't as well established at the time.

So, I'd say there is plenty of wiggle room as to why people don't make a big deal out of it. And even if it was a big deal, IIRC, in the game, we never really see much interaction between Kesh, Drack and any other Krogan aside from Vorn, so with all the other stuff going on, maybe it's just that no one had the time to reason to bring it up in a conversation where Ryder was present.

Now that is Mass Effect.  I just can't get into MEA.

Hoping you're just trolling.  Ugh.

To be fair it is hard to hear when one's head is stuck so far up one's ass.

And here I am as a Dutch person, just wondering how the hell OP's name got through the moderator check when signing up.