If her hooves are in good condition, and handle whatever she's doing already without, then by no means does she need shoes.
All five of mine are barefoot. My gelding trips horribly with shoes. For that, he can't have them on for any amount of harder work, and thankfully his hooves are strong enough to handle it.
The only times he's had shoes on, is when we travel into a rockier terrain and I don't want his hooves to chip, or if it's raining a lot, and his hoof wall starts cracking. Otherwise, he moves his best without. Why spend the extra money anyways if they don't need them?
"You're just as sane as I am."~Luna Lovegood.