Oh boy can I relate! I missed out on a lot of really fun stuff because I was self-conscious. I agree with Snowhot that there may be more to it than just an ability issue.
There is something intimidating about being a beginner in a sport, or any activity, when the people around you make it look so easy. The best-intended comments of "do it this way" or "you'll never get it unless you try" feel like MAJOR criticisms and can make the beginner want to shrink further into her shell.
I work in two key areas - communications and wilderness skills. One thing I wish I could convey to people is that
everyone has a different learning style.
Some want to jump right in the kayak (my primary teaching vehicle) and get on the water without any understanding of the technique - they'll figure it out. Some want to see me paddle, ditch and recover so they can see the strokes and how it's supposed to look. Some want to be told how and some want to read how. Some are like me - I wantto understand the mechanics of a sport and the physics before I tackle it. Then I like to methodically work through each stage until I have perfected it. (ooh, ending with prepositions, so much being a communications expert!)
When I began learning downhill, my DH couldn't grasp that I wouldn't just get on the hill and figure it out. "Why not?" I just don't work that way. "Well, I'll ski with you today". NOOOOOO!!!! The last thing I wanted was for him to be there watching me. Why? For any number of reasons.
Perhaps too she falls into the same category I did at her age...She is afraid of embarassing
you by how poorly she (in her mind) is doing or that you'll be disapponted, in this case it doesn't matter how much you tell her otherwise, she won't believe you (of course, what 14yo believes ANYTHING her parents say

)
And naturally, at age 14, we were all very concerned with what our peer-groups thought of us.
Here's a short wish list of ideas
- Bring one of her friends with you to the hill - one who is also a beginner
- Invest in some lessons - make sure she is a group with at least one other person her age (not everyone can afford this but this is a wish list
)
- Realize that she is self-conscious and feeling "stupid" about looking "stupid" (you've already hit this one)
- Don't push
- Let her be there and encourage her to get out but understand that she might want to do this on her own
- Get her some books and videos on the subject
I suspect your daughter may just have a different learning style than you. This is a great link for an introduction
https://https://www.ldpride.net/learningstyles.MI.htm to learn little more about learning styles.
I know I've gone on for far too long

but I am really passionate about my work and helping ppeople to understand their learning styles. If you want to pm me I can give some more details about assessing learning styles and some more tactics for different styles. Heck, I'll even chat with her
AQ