I have to say, I'm really glad to see this thread. ^_^
I don't mind either way about the name.
As far as I'm concerned, Caiyha is all about nature... from the roots of the plants to the leaves in the canopy, from the smallest insect to the largest whales. It's not about outright control. It's about asking something to work with you, it's about give and take. Nature is alive and free and wild, always and constantly developing and growing. I can see communing with the flora and fauna - asking them for favours, and returning those favours in kind. Be it as simple as asking a tree to drop an apple for you, and finding some way to return that favour. Maybe it's been dry recently, and the tree is thirsty, and has no access to or is too small to compete for it, compared to its fellows nearby. Or maybe the druid wants to check out something... and asks a cat for assistance, either to lend its senses (maybe skin-riding, if druidism goes in that direction, and by skin-riding, I mean no control, just going along for the ride and asking them to go a certain way), or to have a look for you... in exchange, for, say, a fish.
But the key to that, maybe, is that they are alive.
A wooden bowl or chair... that's already been cut. It has no more roots connecting it to life. I have a hard time imagining a druid being able to influence the size or shape of a wooden bowl any more than they would be able to influence or control an animal's corpse.
A druid should be one with nature. As Jen said... they should be able to walk into a habitat, and know what's normal and what isn't, or if something is wrong, and at higher levels, be able to find out what's making it so wrong... even if it's from the eyes of a living thing in that area. Maybe someone poisoned a pond because people thought that it would chase away the local wolf pack - but that affects everything in that ecosystem.
Just my two cents, though.