"I Stand for All of Us!!" -- Guard-Captain Aveline Thread.

Now in progress the rivalry with Aveline (not that easy, but easier than with Isabela to me).

So: I disagree here. Hawke still can help her, but not agree with her in everything. And rival!Hawke does not necessarily represent the evil. Probably only a different angle of view, and perhaps this angle is good.
For example:
If Hawke took her into the Fade, after she betrayed Hawke in the Fade, she says, that she understands the Templars at Gallows: every mage must be closed, because if they must to resist such a temptations, they must have so much willpower, she can't understand. So: because she was not able to resist, she wants to close the mages, what is perhaps understandable, but perhaps seems wrong to a mage Hawke, or if Bethany inside of the Circle, and Hawke doesn't agree with this... Hawke here can ask her, she wants to close him/her too...
Later, she tries to explain, that so many criminals in Kirkwall, that she started to think about, it would be been a solution, if as at the Gallows the Templars, the Guards would arrest the potential criminals, to prevent the crimes. Hawke here can question her...
Or the elves and the guard's case...
These are significant disagreements, but Aveline can think about that Hawke perhaps right.
Aveline is not perfect, and sometimes she needs to think about it. This does not necessarily make Hawke her enemy. (And still, Hawke performs the guards' work at night.)

And I not even mentioned yet, that if Hawke has bad manners, as my current Hawke, for example. 
True, if Hawke's a criminal inhumane psychopath, too hard to imagine her loyalty.