Aw, that’s nice of you to get her some company. First of all, are both bunnies spayed? The droppings in front of the cage are them marking their territory, and they probably won’t stop until they get along.This could be very difficult to pull off until they are both spayed.
Give your new bunny some time alone in her cage (a day or so) and don’t try to interact with her yet. Once she seems a bit more comfy in her cage, start offering her food out of your hand, or treats. Talk in a very soothing voice. Let her get used to your presence. You could also sit by her cage and just read or something. She’ll learn that you’re not a theatening presence. Eventually, let her out and try to contain her to a small area.You can use a puppy pen for this purpose. Don’t try entering it for a bit though. Just reach down and gently call her over. Hopefully she will come and sniff your hand. If she sniffs it and then doesn’t move, you can gently (and slowly!) stroke her forehead, going upward. That’s how rabbits groom each other in the wild. Offer more pellets out of your hand and talk soothingly to her all the wild.
If she doesn’t get along with the other bunny yet, then keep away from each other. Don’t let them see each other until she is relaxed in her new home. Two bunnies mingling can be very stressful for both parties. They should be able to see each other all the time once she’s lost her skittishness, but for now you should focus on dealing with that and avoid her subjecting her to any other anxieties. Good luck!
PS. Remember to give her lots of toys!