Do you happen to know your cat's history?? What you described sounds like she may have been abused by a man. Usually cats who have been abused, will be aggressive and mean towards the gender that abused them.

What you might want to try is sitting on the floor with your cat with cat treats or catnip. Toss some her way and let her approach you. Don't make direct eye contact with her, but speak softly to her. Looking directly into her eyes is deemed a threat. Once she realizes that you mean her no harm, she should start warming up to you, especially if you shower her with food and kindness.

Good luck and please let us know how you make out!