The Angry One wrote...
In the end Anora has power due to writer's fiat, and you'll never convince me otherwise.
Depending on your actions she should have about as much political clout as a sewer rat, and yet there she remains because the plot says so.
Infuriating.
On what basis should she "have about as much political clout as a sewer rat"?
It sounds like you're letting the fact that you plain don't like her cloud the fact that she is the daughter of the Hero of River Dane, widow of the recently killed King, and the heir of the most powerful Noble active at the time of the Landsmeet being called (thanks to Mama and Papa Cousland getting eliminated). Yes, Loghain is a grade A douche...but the point of the Landsmeet is it is where we actually expose him for being that Grade A douche, and many people are not aware of what he is up to prior to that. We essentially discredit him at that point, so most of his "tarnish" on Anora doesn't really show up prior to then.
Now, I do not care for Anora much at all (personality wise), and I wouldn't trust her as far I can throw her, but it really is worth bearing in mind that her father has a significant number of Banns under him who swear loyalty to him. That's where her power comes from, as Loghain's does.
The fact that her winning the Landsmeet is not a foregone conclusion proves that she isn't by any means a political powerhouse, but she's hardly a Nobby-Nobody lightweight either. She's basically the incumbent daughter of the theoretically highest ranked living Noble in Ferelden. A Cousland PC is essentially the only known living daughter/son of someone the same rank as Loghain, but without the executive experience possessed by Anora, and with a wiped-out ancestral powerbase (Highever). Loghain has been telling anyone who will listen that the Couslands were Orlesian agents/traitors, and a showdown between PC-Cousland and Loghain's faction would essentially be a fight of "You're a traitor!", "no u!".
The fact that the PC is the current de facto leader of the Grey Wardens in Ferelden is, while noteworthy, not really relevant (on paper) when you consider the Wardens are (supposedly) politically neutral. Any argument that legitimises a Cousland bid would also legitimise Anora. I believe that last point is largely why Eamon doesn't see value in making a bid of his own (aside from the fact he doesn't seem interested).
Personally, I feel Anora doesn't have enough going for her to beat Alistair (lets face it, Loghain's actions alone don't help her cause in the slightest), but she certainly has enough there to at least be considered an initial contender.