Seriously? he was fucking insane and ordering people to be burned alive, Jaime killing him was an act of heroism, he saved life's and put an end to an insane mad man. Just seems funny she was still holding that against him even after knowing what kind of king her father was.
She might have only been acting that way to appear tough. I think she knows her father was crazy. But yeah it does seem weird to still care about that with the incoming threat.
It's hard to completely ditch the little kid's hatred of the man who killed her father. No matter what she knows in her head. Like she told Jaime, when her brother was still around they used to talk about all the painful things they'd do if they ever got their hands on him.
I think her doubts now have more to do with wondering whether his presence there is yet another of Cersei's schemes. Either to eliminate her, or make sure her army is whittled down to size fighting the dead so she won't have enough left to take King's Landing. Something like that.
So what? Didn't stop everyone else calling him Kingslayer, did it? And I find it hard to believe that they thought the Mad King was sane in any way, otherwise they wouldn't brand Jaime with the Kingslayer name, they'd be doing the opposite.
I've never understood this fixation with the Kingslayer name for Jaime: it's like THE biggest TABOO in the whole of Westeros, to kill your king, and NEVER MIND the circumstances. It is just something you DO NOT DO.
So many vows. They make you swear and swear. Defend the King, obey the King, obey your father, protect the innocent, defend the weak. But what if your father despises the King? What if the King massacres the innocent? It's too much. No matter what you do, you're forsaking one vow or another.
When the king has devolved into a raving madman who runs around screaming "Burn them all!" and has the means to actually make that happen, the question of which vow to obey becomes clear.
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From previous conversations we know that Dany knows what her father was. But he was still her father and she had years of being in exile and prone to assassination attempts to fester .
And there were many other reasons to maybe not be entirely trusting of Jaime..Some were addressed and some were not but essentially he's been an enemy to most of them for many years.
It would've made less sense if they'd just welcomed him with open arms without the council..