Wonderfully put, OP. I wasn't expecting to be a fan of hers before the game came out, what with her staunch devotion to the Chantry and hot temper. However there were so many little occasions over the course of the game where she won me over, she's now probably my favourite character.
When were were plunged into the future at Redcliffe and saw the future Cassandra, I was utterly distraught. None of the other characters have affected me so much during that sequence, but Cassandra. It really struck me how much faith she had in the Inquisition, and in the Inquisitor. It just felt like a really poignant moment.
Her strength and resolve are incredible, but I'd never expected the softer and more idealistic side of her. When she talks about the future she wants for the Chantry, it really makes me want to make her Divine, because it feels both achievable and benevolent. That line about wanting to help people, wanting to 'right past wrongs, but not avenge them', she's so much more wise than I gave her credit for. Her developing relationship with Solas and Cole is wonderful too. Those are two people that you'd expect her to despise, and yet she's always respectful, tries to see their perspective over time. She even tries to make things right with Varric.
Plus there's her hilarious scenes with Varric's book and the card game, giving her an utterly adorable side to love too. She's just such a wonderfully complex character. I'm actually looking forward to playing a male character to see her romance.