Does she have a cat tree or condo she can climb on? Enough cat toys? A good scratch pad? Is she a former outdoor cat?
My windows (and doors) have screens, and none of my cats (indoor/outdoor) have tried climbing up. Though I've seen them smell and even lick the screens and rub their sides on them.
But I believe that's part of their communication system.
Anyway, I suggest that everytime you catch her going up the screen, firmly say NO and make a loud sound like a handclap and get her down. In time she will learn to avoid the screen (when you are around at least). When you are out, she should be entertained enough for her to ignore the windows which is why I asked about the cat toys and the tree.
I hope I helped.