Hi Sarah, the fact that your budgie is already trusting is great. As prey animals, many people have a real challenge with their birds even getting to that point. They’re all individuals in personality though, and some do tame and trust quicker and more readily than others.
Some people let their pet birds on the floor, but personally I feel that it’s just too dangerous down there. If they make a habit of it, chances of getting accidentally stepped on are high.
While the wings are clipped, try having her over a bed, or... you might hang a sheet, blanket, or towel horizontally as a landing pad. Secure the ends onto furniture or whatever. If you are planning on letting her wings grow out, you can stop doing that, and get her accustomed to perching “up”, not on the floor. Get her up immediately if she lands there to break the habit.