From A Wiki of Ice and Fire:

According to Archmaester Gyldayn, in the eyes of many, the council of 101 AC established an iron precedent on matters of succession: that the Iron Throne could not pass to a woman, or to a male descendant of a woman.

What they mean is that the throne cannot pass through the female line; the case being referenced decided King Jaehaerys I would be succeeded by Viserys, son of his second son, and not Rhaenys, daughter of his first son, or Rhaenys' son Laenor.

What they're saying is that neither men nor women can inherit the throne (good luck finding a man who isn't descended from a woman!)

(I would fix it, but it seems awoiaf doesn't allow guest editing and I don't have an account)

(also now I want to worldbuild a society whose laws say that all rulers must have all ancestors be men up to the nth generation; your choice if that means fancy high tech replacing the DNA in an egg stuff or cis men having kids with trans men)

are there people who have their inner monologue in the third person?

i ask because i was reminded of this trope in TG fiction where the narration goes 'he thought it was about time he accepted his change and started think of herself as she' or something and then the narration switches pronouns as though this reflects a change in inner monologue and like. how. is this how the author's brain works.

(the general case of this is pretending the narration corresponds one-to-one with what's going on inside the PoV character's head, which is still weird in first person narration but much less so)

i am an actual trans person who thinks in two gendered languages and i can't even tell when i started switching adjectives from gendered-male to gendered-female in my Spanish inner monologue, the question of what third person pronouns i use inside my head for myself is meaningless