Ok so opening up I just want to say I recognize the 'appeal' Brandon was going for with her character. Her feminine strength is something that is lacking in a lot of female protags over the years, and she does have a traumatic backstory. Her naivete and lightheartedness are both testaments to her character's mental strength and fortitude to remain through all her hardships.
That being said, both those traits also make her the most ignorant, detestable, and unbearably annoying character in the entire Archive. Despite how smart she's supposed to be, and no matter how many times she points out a problem she might run into she still messes up and makes the story miserable. Most of her problems so far (I just finished Oathbringer), are completely caused by her and her own ineptitude to deal with her problems without whining about her daddy and mommy issues. I don't care if she killed everyone in her hometown with a knife, Hatred itself is invading the world while all the gods are gone and there's a massive power struggle between the major nations of the world. Suck it up, and quit masking your insecurity with crappy quips. God don't get me started on the quips. Every time this woman opens her mouth, whether its to say something to Pattern privately or to any Brightlord publicly, I wish she never did. I get it, she's 'clever.' That shouldn't mean slontzey though. A smart, clever character can and be written so much better.
To those who still wanna play the "woman strong" card, I'd advise looking at Navani or Jasnah. Both are extremely clever, strong, and independent despite it being in different ways. Jasnah's quips are crappy digs but intellectual pokes, tailored to the conversation perfectly. Navani is perhaps the most powerful woman in Alethkar. Despite her status as the Queen Regent, she was able to maintain a very powerful position in the Alethi court through her intellectual prowess. I'd highly advise Shallan to gather her thoughts and return to the story once she quits her crying and slontzeing every second.
TL;DR - Shallan is a loser; I wish she wasn't so important to the story; The other women in the story are so much better and should be more important.