There are actually a few things I really like about Victoria.
One is that I see her defining character trait to be that she is protective.
She sees you, a then relatively new trainer, wanting to pass through a dangerous area, and worries about you. She sees you wanting to battle a little girl who just saw the dead body of her best and only friend's father splattered all over the ground next to her gym - and she wants to stop you, because she wants to protect a deeply shaken Shelly. She sees Kiki fall, knowing that she's nearing the end of her strength? She wants her mentor/parental figure to rest, to protect her.
Victoria always has other people's wellbeing in mind, and while it makes her a roadblock to us, it goes to show how much she cares - even if she is lacking the wisdom to understand that her actions are often not the best choice.
She also seems to struggle deeply with one of the very lessons that Kiki wants us to learn - "We mustn't let our inner turmoil complicate outside affairs."
I find it really interesting to see Victoria struggle with what her feelings tell her - wanting to unleash hell upon the people who are responsible for killing Kiki and hurting so many people - and sticking to Kiki' principles of learning how to stay calm, collected, and above your impulses.
She knows that Kiki would not want her to act in violent rage, yet she has a definite wish for revenge that she finds hard to suppress. She talks to us about it during E16, and there's the whole bit about the grunt getting knocked out by her after taunting her about Kiki.
Victoria wants to live up to what she thinks Kiki expected her to be, but she keeps running into situations in which she fails this. It gnaws on her because all she wants is to make Kiki proud, yet she feels that she isn't able to.
I think a lot of Victoria's behavior, and her flip-flopping back and forth between being confident and determined or not, comes from her trying to figure out what Kiki would want her to do/be. She has always looked up to Kiki as the person who knows what to do, and her approach to any situation seems to be "what would Kiki tell me" - so she beats herself down when she does things that she thinks her mentor wouldn't approve of, and feels lost when she can't figure out what to do.
She is dependent on her dead mentor figure. She finds it incredibly hard to be on her own, to make her own decisions, and to push through without knowing if she would have the approval of the person she looked to for directions for so many years.
Victoria's problem is that she is trying to copy Kiki, trying to be just like her, when Kiki really wanted her to use her lessons to grow into her own person who is strong by body and mind.
And I think this is the thing that Kiki wanted to break by sending Victoria away. I think she was aware that Victoria was lacking independence, and hoped that traveling Reborn to take on the league would help her mature into her own person. That she would learn to make and trust her own decisions. Wean her out of needing an authority figure to point the way. (Especially in the light of the fact that Kiki knew she was dying from her condition.)
I think the basic idea of her character arc is that she has to learn to be confidently independent and incorporate Kiki's lessons into her growth, but the abruptness with which she was thrown into a life in which there is no more Kiki at all to provide counsel and reassurance, is what makes things so hard for her.
She wasn't so much weaned out of dependence, as tossed right into the cold water.