Those skyways are not steep, but as Nathan mentioned, they are narrow and there are drop offs onto runs which can look like cliffs ;) The most difficult part of them, however, is the skating to keep going on the flats. If you don't keep some speed up, and beginners rarely can or do keep their speed up, you'll have to skate which is work - beginners don't skate the best just like they don't ski the best. When you are on those things you need to keep an eye uphill and don't get creamed by any yahoos bombing across them. And that's what the slow areas are all about, BTW - they don't want people straightening through those areas at a zillion miles an hour through all the beginners. That's where the beginning lessons will be happening.
Take her cues for what she's ready to do. Give her some greens if she needs it. The advice to lead when you are together is solid. Traffic nearby tends to make beginners nervous. I started late in life and in the beginning I was afraid I'd turn in front of someone and get run over. Later I was afraid someone would turn in front of me and I wouldn't react quickly enough and I'd run somebody over. Personally it was a big breakthrough for me when I reached the point where I'd look for holes developing in the traffic and let the skis go and drop through. Once I stopped worrying about traffic things started to go much better for me. Lead away from traffic, try the sunny side of the runs where the snow might be a little softer and the light better. Pick spots down the slope and tell her that's where you guys are going and you'll wait there for her. Play "stay in my tracks" and little games like that. Pick a short steep and play "do this in three (or two or four or whatever) turns". The Beav has a ton of small groups of trees that you can plan to stop in front of, or behind or whatever. Don't tell he what she needs to do but, rather, mention things that helped you, particularly, IMHO, what something felt like rather than the mechanics of it. And whatever you do, DON'T LAUGH AT HER! ;)
You're gonna have a great time!