I grew up avidly skiing (started skiing independently at 2, actually). However, I wouldn't do what you're suggesting, there's just too much risk. Not only from you, but from other skiiers, to freak patches of ice, to a binding slip. While I doubt a 10 month old would be fatally injured by you falling flat on top of them (especially since most slopes will have some give, it's not like falling onto concrete), I wouldn't want to risk it on the slopes. Again, you may have olympian dexterity, but that doesn't mean someone else can't crash into you or the slope maintaners to miss rocks or ice that can catch you off guard.
If this is a kid-only slope ('kiddie slopes' mean vastly different things to different people--I've seen the green runs at the base of the run termed kiddie because they're not challenging--but there are still people zipping through to get to the lifts nearby, which is a hazard), then I wonder if you can walk the slope with a sled while your 5 year old skis. If your 10 month old is standing well, and you think she'd be up for it, then I would encourage you to look into renting itty bitty skis (stuffing the itty bitty boots if necessary), and have her stand up and ski between your legs (you do the snowplow, she is inside it, holding on to your hands). This is something you only want to do on a sheltered slope, though. I started doing this when I was 1 year old, with my parents (who got permission from the ski school to use their children only slope).
So...I don't think you shouldn't get your baby girl out there. But I do think that wearing her in this situation is unsafe. I would say that without a doubt (barring motor difficulties) she will be ready to start learning to ski with you! This year probably you might not get to have as much fun (or as much skiing in) unless you trade off with a partner.
: really....it has been so long since I went skiing.....
probably not the safest thing. 
