I would suggest she start off with dressage to get her core balance and base. Then, if she wants to jump or whatever. It will seem boring at first, but she'll understand later, the importance of it all.
My trainer, is very hands on and personal with her students. She's close to all her clients, and she comes to almost all my horse shows, not because we asked her too, but because she wants too. It's a close but professional relashionship. That's what I really like about it.
I didn't want to start showing. It intimidated me. Now, I love it, and it's what I do. It just took me a while. She may be like that, or she may want to jump into the leadline classes at the first chance. Don't pressure her. You want it to be fun instead of negative. You may want to check out a couple of local trainers, and ask what horses she would most likely be riding, see them, etc.
My advice- don't be the stereotypical "soccer mom" or the, mom who is more interested in winning than the kid is. Showing should be fun, and if she wants to do it, let her.
My dressage trainer charges $25 for an hour, my jumping trainer $25 with your own horse, $40 with a lesson horse, and my main trainer $50 for an hour, but she always gives me close to two hours, for the same price. I get what I pay for. Since I have my own horse, I also often just go over to her place, not for a lesson but to ride around with her and her place to take my horse somewhere different.
"You're just as sane as I am."~Luna Lovegood.