There is a bit of a bend in her jawline. It's because she fell on some rocks as a child and smashed her jaw. The healer could mend the worst parts, but her jaw was always slightly bent. She's got a lot of scars, since she tends to rush into battle and then realize that she is way over her head.
As for her mental state: She's of average intelligence, she can read, talk and reason, but she rarely learns from her mistakes. She tends to rush forwards without thinking. She took the templar specialization so that she could better combat the mages the Inquisition faced and pretty much gobbled up the lyrium, even if Cullen just told her what that stuff would do to her. She made Blackwall finish his joining, because he was headed in that direction and giving your life to combat the Darkspawn should erase your crime. But she forgot the fact that this would make him have to face the calling and the whole Warden issue a short while back.
So she will slowly loose her mind to lyrium and her lover will loose his mind to the Calling. But they are happy at the moment and that's all that matters.