Sophia very much seems to be the femme fatale of the story. I don't think she has much interest in Edwin herself. Abel probably ordered her to butter him up for something, and poor Edwin may or may not fall for it. Sophia and Abel are lawful neutral at best, and while not outright evil, I have no doubt Edwin is just another interchangeable pawn to them that also Kat and Chuck see him as. Sure, her chemistry with Edwin is off the charts, but I suspect she's deliberately honey trapping him for Abel to control.
Before we know it, Dr M̶e̶n̶g̶e̶l̶e̶ Abel will be pumping Edwin full of chems after being lulled by Sophia. Soriously, Edwin can't trust anyone associated with the club, except maybe Ian and Hana. None of them are remotely good people, and if Sophia's willing to work for a morally ambiguous guy like Abel, than you have the answer already regarding her character and morals.