Oh heck, you can start a foal with training (just the very basics, desentizing with your hands and sensitizing with simple pressure by let's say, putting your fingers on his hip and asking the baby to move it over).
I'd go ahead with CA right away. That IS the way that you and your horse bond. What will you do if you are grooming the horse and she decides to step on you? Or kick you? Or bite you or?.... my point is, getting her into the training is getting her into a bond of "me leader, you follower" in a nice way....something that she'll appreciate, cause she wants to know what you expect of her, where she belongs in your herd (you and her).
Horses want to know what's expected of em. The sooner you establish the rules and boundaries, the more relaxed she can get, knowing what's what.
Of course, since she's only 2, keep it easy, no excessive work. But you can do all of his basic ground work series, just keep it simple.
Good luck and congrats on your new horse!