Hi Tia. I have had lovebirds and they truly do have a mind of their own! It sounds like you may indeed have a female on your hands, or maybe just a bird that is cage territorial. It could also be that your bird doesn't know what its like to have a forever home, so the biting is just a symptom of being passed around from home to home - I hope this is her last stop!!
I do believe she will calm down once she realizes she is somewhere safe and also realizes she isn't leaving anytime soon, but even that being said she might never be a bird you are able to touch or pet. Some birds don't become cuddle bugs like others do. The key to taming down a bird is to take it at the BIRDS pace, not yours. You should never force a bird to do something - this deters the trust process and may harm your relationship in the long run. Patience, patience and more patience is the key. Take things day by day in little steps. This will build trust over time and although I KNOW its hard to be patient, the pay off is SO WORTH IT at the end!
Keep us posted - any other questions you have, feel free to ask!!