I cup feed my cham every other day, and when I first got her started on it, it was a long process. When I first got my veiled, I release crix into her cage for her to track down and eat, but I had a hard time keep track of the ones she ate and the ones that escaped the cage. That's when I turned to cup-feeding. At first, it took a long time for her to know what to do with it. I feed her dubias currently, but when I first started cup feeding, I used crickets and then mealworms. She would go through odd cycles, sometimes she would be fine with the cup, and sometimes she would let is sit, full of insects, for multiple days.
I suggest you be persistent. Keep putting her food in the cup, because if she refuses it for too long, her instincts will take over and she will have to eat from the cup. Female veiled chameleons will be constantly trying to eat something because their instincts tell them to eat as much as possible for a healthy clutch, even if they are not eggspecting

It may take a while, but if you keep trying, I guarantee you will get some results.
I have also paired the cup feeding with hand-feeding, and she seems to like the hand-feeding even more. I used a paper plate and she gathers up her courage and stalks to the front of her cage and eats the roaches. A part of me thinks that she would never come that close to me if she wasn't a female. She is always looking for another morsel, and the promise of food will get her to do just about anything.
Never underestimate the power of snacks!

Good luck, and I hope my experience helped you out a bit.