How old is she? Where did you get her from?
I find routine is a HUGE thing with bunnies. Mine do so well with that. I think that it helps them not be as nervous in general if they can expect what will happen when through the coarse of the day. Always do the same things at the same time and order in the day. It helps them a lot; get her into a routine every day for instance (just an example, do things in whatever order you like) First you feed her, then when she's done, you let her out of her cage in a certain area to run for however long, and then put her away. For a long time I would then also give a treat (a small one like a bit of veggies) every time when I'd put them back in the cage. They knew to expect all these things in the morning and looked forward to it. They've learned to trust me because they're excited about what's coming and don't have to wonder what will come next. Ripley never liked to be held or petted, but now though no one else can hardly pet him or hold him at all, he'll let me. I know he doesn't enjoy it, so I don't do it for long periods, be he tolerates it because he trusts and loves me. That's where you're trying to get to.
I agree about each bunny having a different personality. Many people think that if you just get a bunny as young as possible it will love attention and be super lovey dovey. I don't agree. Each animal has its own personality and some like being pet and held more than others. With a bunny who isn't so into being held, learn to watch from a distance; learn their likes and dislikes; give frequent bits of little healthy treats (like veggies) and only give treats as a reward to the bunny for being around you.
Remember, a month isn't a long time to have a bunny. You bunny is still settling in and learning her new home, family etc. Also, if she isn't spayed, you want to consider that. Not only does it have huge health benefits, she may also be more layed back and less nervous.
Though it's overwhelming now, keep going, and be patient. With some more treats, time, and lots of love, I think she'll learn to trust. It is such a rewarding feeling to have an animal learn to trust you. Not only will she learn to trust, I think you'll be surprised at what a bong you'll form with her and at what a good friend a bunny is.