Becky, as Kate rather bluntly put it, has had her sexuality exploited for her entire life (it same up in her intro issue). First by her father and then by her "animal" of whoever boyfriend she slept with. Yeah, she isn't the sharpest knife in the kitchen, y'all, but when given the chance to do something where she calls the shots, she does want to do the right thing.
She isn't perfect, but she is a good person at heart and when given the chance to be a hero, so far has taken it. That is what The Order is about, presenting characters whose faults make them human and yet they are, deep down, heroes. Or at least trying very hard to be, in their own way.
Aralune pretty much does what other people tell her to do; even to the point of being a superhero sometimes. Which is why her power, to shapeshift into whatever she wants, is ironic.
Also, "making a sex tape" seems to be something that kinky guys talk their lovers into doing, aparently. Becky probably knew she was filmed with the cell at the time, but may have forgotten, or presumed that her BF wouldn't save it on his cell for months/years until she hit it big, just to score some cheap bucks off of it. After all, this is the same girl who won't admit her father exploited her since childhood.
If being a bit dim and naive made you unsympathetic, then The Hulk has never been sympathetic.
Becky's the opposite of Veda, really, who is strong, confident, smart, and determined.
And I really, really, REALLY hope the Skrulls and SECRET INVASION stay away. I know I repeating myself, but F it. If THE ORDER is doomed to be axed by issue #12 due to sales, than creating a temporary spike of 5-15k sales with a tie-in really won't do anything to change that, and I'd rather Fraction, Kitson, Evans & Co. make the most of every issue they DO get.