I'll admit I was skeptical of her when she first appeared. It wasn't that I didn't like but I felt like she had no character deveopment at all, we didn't really know anything about her and that made me not trust her.
In The Aftermath though when we find out it's her father who's an equalist and Asami stayed loyal to her friends, I really respected and admired her, since then she's been one of my favorite characters. And after that she continues to show how great a person she is.
Though I love Asami I definitely don't ship Masami in any way shape or form. I just thought that from the beginning their relationship was unbearably dull. I felt they didn't really click at all. And when Korra went missing and Asami found out everything, I didn't blame her one bit for how she felt. A lot of people critize her for that and it doesn't really make sense to me, she put aside her feelings and didn't confront Mako until Korra was safe, plenty of people wouldn't even do that.
What I think Asami needs to do after the finale is to leave Republic City and travel, maybe settle down in the Fire Nation with a certain General.(hehe) Seriously though even if she doesn't end up with anyone I don't really care. I just want Asami to be happy and Republic City holds too many bad memories for her. Her mother's death, her father's betrayal and now that Mako and Korra are together she'll have to watch her ex, who she still cares for, be with one of her best friends. So yeah if I was her I totes would not want to be around that. Asami is an amazing, strong character, she drives stick like a boss, and I love her.