Sounds like a typical female to me. She wants your attention when SHE wants your attention, she wants to play when SHE wants to play...when she's had enough she's had enough. lol
If she like sitting at the comp with you then do that more often. Bring a toy along and try playing with it there.
Keep trying veggies. You have to be persistent and keep on offering them on a daily basis so she's use to seeing them. Try offering them in different ways...read more threads here, it's been explained a hundred times.
Have you tried putting a pinch of crushed red pepper in with her seeds? If not, give it a try. Chances are she'll like it and it's good for her. Get some carrot powder and beet powder to mix a tiny bit with her seed mix. It's a good way to get more nutrition in to her if she won't eat her veggies yet.
Annyway...Andi is Andi... a typical lady bird. Love and accept her for who she is. If she steps up even just sometimes and wants to spend time on your shoulder only sometimes...well then she obviously trusts you, so you're doing something right
Many females are even more standoffish than Andi..so count your blessings.
I would like to see her eat some veggies and play with toys more often to stimulate that intelligent little brain of hers, so keep trying. Just don't force the issue. It had to be on her terms and fun for HER