When I'm riding green horses, or any horse for that matter, I always keep in my mind...do the opposite of what the horse wants to do.
Your horse wants to be fast and out of control. You stop her, back her up a few steps then move forward. Every time she wants to be fast, you stop her and bring her back to you. Make her listen to you. If your horse wants to go right, you pull him left, etc. You're in control not the horse, and you have to keep reminding her of that until she knows who the boss is.