A character in Queen of Shadows has a storyline based around abuse however it isn’t described in detail (only implied) and this character isn’t the main focus of the book so it isn’t mentioned a whole lot
Book 1: There is a flashback to Celaena's traumatic loss of her parents as a child but neither of them actively die in the scope of this story. This is usually a trigger for me but it was gently led up to enough that it was easy to see it coming and deal with it.
In the first book one character heavily implies that in a past event they acted a certain way in hopes that they wouldn’t survive.
In a later book a character is inches away from attempting suicide instead of being taken back to a place they had escaped from.