It's very possible that she has never been fed veggies before you got her and she doesn't know that it is food! Try her with some cilantro. Many piggies love the stuff - my go wild every time the cilantro bag comes out of the fridge! You are going to have to be patient with her as she learns that it's okay to eat the veggies you offer her. Keep trying with the baby carrot, eventually I'm sure she will work up the courage to take a taste. Hand feeding during lap time is also a method you could try.
You could also try to mix in some fresh grass with the veggies to entice her. Most pigs can't resist fresh cut grass and while she's pigging out she may try to eat the other stuff that's mixed in.
Good luck and keep trying!