Board Thread:TV Show Discussion/@comment-4708902-20161003211805/@comment-28895263-20161005043424

Oh, I don't think a strict matriarchy is in the cards, either. But there are so few trueborn male heirs left, at least in the major houses. Robin Arryn, Wyman Manderly, Edmure Tully... There's probably a male Frey still living, I suppose. Petyr is Lord of Harrenhall. Beyond that, it's daughters, or bastards. Or assassins, like Ellaria Sand. (Not even bastard Martell blood in her; we might see a power struggle with Oberyn's daughters.)

Maybe Gendry winds up with the Stormlands. Unless HBO introduces Edric Storm.

Did I miss anybody?

Of course, it's highly likely that Daenerys will take the Iron Throne.

So, not a strict matriarchy. But that's where the power will lie.