TL;CR

TL;CR MEME
1. Comment with your character.
2. Receive comments from others.
3. Reply to their comments with long ballads and explanations of your characters' relationship throughout the game.
4. Endure everyone else reading your comment like the vultures they are.
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So at the beginning of the game Emma honest to god could not stand North, which is hilarious when you look at where they ended up. She thought she was rude, judgmental, and harsh for no apparent reason - which are all things Emma definitely can be as well, and part of the problem (and also most of the reason they moved past it eventually, probably) is that they were definitely much too similar for her comfort. They're both very stubborn and quick to anger, and in ways that just naturally kind of rubbed each other the wrong way at every turn. It pretty much culminated in North saying she didn't like humans at all, which definitely made Emma less inclined to give her a chance in turn.
That changed for a few different reasons - I think the first, at least on Emma's side, is how determined she was to make sure everything here went well. She remarked to a few people, even when her and North still absolutely did not get along, that she at least didn't think North was stupid or useless. That feeling only grew the more North helped out in trials and tried to network during the week even though Emma got the idea she definitely isn't a people person. Around that same time, North - not quite leaked part of her Tragic Backstory, but at least alluded to coming from a place where not everyone treated her like a fully formed person with thoughts and feelings. Also around that same time was the trial where they kind of worked together for the first time to make sure everyone showed their powers, and they ended up finding a killer. Even though it was Miki's scroll that ended up ultimately outing Xion, it was still more Teamwork than Emma really expected them to be able to go for.
At that point, she decided to at least give her a chance, and the thing that shifted them from "maybe she's not that awful" to "wait are we kind of friends now--" was North being the first one to tell her about the last man standing win condition. There are people she was a lot closer with than North that actively chose not to tell her, and while they had very good and valid reasons for not doing so immediately... To Emma, the fact that North trusted her enough to do so despite the way they got off on the wrong foot really did a lot of push her up the scale in terms of trust. Even if she's always going to be a little bit salty about the "get a grip" thing, oops. By that point, she was kind of learning to reevaluate the way North acted, and what she used to see as rudeness and abrasiveness, she was now interpreting as determination and not having time for anybody's shit, which is why I mentioned earlier that them being so similar is what first drove them apart and then what ultimately made them get along in the later weeks.
AND THEN THEY DID A MURDER. While North still probably wouldn't have been her first choice going into that week on who to team up with in order to do something like that... While nobody can say it really went well, and Emma is always going to be both horrified and concerned about the lengths North went to cover everything up (THE LAVA!!), she was also appreciative about how trustworthy she proved herself to be. Even though she was starting to trust her more, she was still concerned she was going to somehow sell her out during trial in a way that didn't involve outing herself - but the flip side of that is, when North kept the secret (and didn't flip out too much at the list of people Emma wanted to tell, or dismiss the idea of telling the game at large)... It was honestly another huge point in her favor.
It was at that point that Emma started really favoring her for last (wo)man standing and considering her a friend through the last few weeks, even though they continued to disagree on some things. Despite the lava thing, which still gave her some Misgivings, that week really proved a few things to her that she still found true moving forward to the end of the game. She realized North was strong enough to do what needs to be done even if she doesn't like it, that she's not heartless enough to throw anyone under the bus (she didn't set out to frame one person in particular even if she obscured the evidence, at least), and that she at least trusted the others here enough to agree to tell them what happened when Emma pushed a little (though Emma isn't really sure how much of that was her own influence and how much was North really being okay with it, but anyways). She also really respected North's decision to go out on her own terms in the end, even if she still wishes it could have been different.
and that's how she became pals with a roomba and we once again somehow avoided having negative cr despite all odds. i can't believe they fistbumped