SimonM
If your daughter is a leftie you need to act like a mirror.
I've taught a few physical things to opposites (hard to explain in simple terms, sorta light right and left handed but more like board sports, goofy and regular, which actually doesn't seem to have any link to dominant hand / foot) and it just takes a different technique.
It'll take a bit of sounding out to find out which she responds to better, but this is how I do it.
Start off facing them, face to face or across a table or whatever position works to best mirror what you're doing.
Start demonstrating something simple and get them to copy you.
When you move your right hand, say "left". This might confuse them, if so they are already translating your "right" to their "left" and you can just say it as you do it and they'll make the switch for themselves.
It sounds far more complicated than it is.
You could even make a game of it to figure out which one she responds best to.
I dunno how I figured all this stuff out, I never gave it a huge amount of thought until after I'd figured it all out. I think I've just got a nack for teaching things which most certainly helped.
For shooting a bow, I'd suggest getting two low powered bows, one each, and going through the motions as her mirror. Make sure your technique is correct and get her to copy your moves. You can exaggurate some of them positions and movements to demonstrate differences - that's a good replacement for the more close-contact technique where you help them make the movement for themselves (like standing in close behind an archer or the guy teaching a girl to play pool).
Once she's got the main elements down you can stop being the mirror and move in to tough and move to show where things are wrong and how they should be.
Ok, so this is WAY off topic for the original post, but since teaching lefties to do things came up it seems a decent place to put it.