I started wearing my contacts at age 12. My parents weren't making me wait for anything; it just kind of dawned on me that "hmm I can get contacts!" so I did. It took several minutes to get each one in my eye and comfortable the first few times I wore them, but it didn't take long to be able to get them in very quickly.
My eyes are very sensitive (I have other vision problems as well) so it was a long, difficult process finding the perfect brand of contacts and solution that didn't cause me irritation or infection. Your daughter will likely be perfectly fine in the first kind they give her, but know that it may take some getting used to or some exploration.
They make all sorts of contacts now; Ones you throw away daily, weekly, bi-monthly, monthly, etc. So, talk with your daughter and her optometrist about what option will be the easiest for her to maintain.
Contacts may cause her eyes to get dry more often. If so, eye drops are good. My ophthalmologist recommended "Tears Naturale Free" since they have nothing harmful to the eye or contact. They work great.
All this said, I love my contacts and can't imagine living without them. Especially if she is active in sports, dance, skating, whatever. I personally think they're a great choice.