Considering a rabbit needs more than 5 hours out of their cages everyday, I suggest you leave her alone when she's in her cage (so she knows it's her safe place) and you let her come to you when she's free so that she doesn't feel cornered. The best is to put yourself 'to her level' by sitting down or even laying down on the floor - she will feel safer approaching you if you are not towering over her. Having a treat like a pellet or a small piece of vegetable that you can give her might help.
After that, it can take days, weeks or months for her to warm up to you. Teenagers aren't the easiest because hormones tend to ruin all your efforts for a while (she can become all nice next week and an absolute nightmare next month until you get her spayed).
For now, your rabbit is just skittish, so she's avoiding you hoping you won't hurt her. Relationships between humans and rabbits are trust-based which is why it takes time and patience to build them.
About picking her up, it's probable she'll never like it. A lot of rabbits hate to be handled...