TBH I didn't think of the bread at the time. Though it wouldn't have really proven she was on a mission from Caitlyn Stark, maybe Hot Pie had been coerced into telling Brienne what way they went.
I don't think telling Arya the details of how she came to be in posession of "Ice" would have helped. She was still commissioned by the Lannisters, who melted the sword down. That has to be one of the biggest insults EVER.
The fact is that Brienne isn't that bright. She always looks confused and conflicted, she's one of those "I want to be honourable at all costs" characters that always gets into sh*t because they can't tell a white lie or break the code even if it's for the greater good. Deontology over pragmatism/consequentialism.
Her goal was to look after Arya and get her to safety (King's Landing?? Littlefinger?? The Wall??), so she needed to get Arya onside but she couldn't do that.
Meanwhile Arya has been handballed from the Night's Watch, to Locke, to The Brotherhood, The Hound... I think she's sick of being a hostage and was having none of it. Westeros is farked and she just had to GTFO.
book [spoiler] Has it been mentioned in the shows whether she has 'wolf dreams'?I really want that she gets re-united with Nymerria.[/spoiler]
[spoiler] One of the worst creative decisions of the show was to completely marginalise the dire wolfs. Perhaps this was due to technical limitations, budget or to give preference to other plot development, but they are a core part of the story in the book and are so tokenistically dealt with in the show they might as well have been written out completely. I don't think anyone who hasn't read the book even remembers Nymerria or the fact that she may be still alive. The TV show never mentions the rumours of a large pack of wolves roaming around with a direwolf leader, as frequently alluded to in the book[/spoiler]
book [spoiler]There was a point when I think some guards were in Renly's camp and there had been talk of wolves massacre's, but it seemed to be alluding to Rob and his wolves rather than actual wolves. I remember one of the guards said "Shhhh! What's that sound, listen......." and then he farted.
I know they have to keep the costs down and CGI is expensive, but the wolves are hardly even in the show, and I think they make you like the Starks so much more in the books.