Need more info about her & you, as there's too little to go on. Eg. Is she a new horse for you? What sort of experience have you had in dealing with or training horses? Is she completely untrained? Does she actually understand how to yield to pressure & suggestion? What have you/do you do with her? How do you try to slow her down when she gets fast? What's she like in other aspects? Have you seen others deal with her & how does she behave then? Do you think she's been abused in the past or just not taught manners....?
It seems that she has a very bad attitude about being led by you. She sounds like a rather dominant/assertive type that is working on getting YOU well trained! As it sounds like you may not be very experienced in training horses, I would first suggest you find someone good and considerate(of the horse) to help you. You need to find someone who knows how to be firm but without being unfair or bossy, and who recognises & reinforces the (sometimes tiny to begin with) signs that she is learning 'manners' & changing her attitude. Timing of reinforcement(be it positive or negative) is very important, to ensure you reinforce what you actually intend to, rather than inadvertently reinforcing 'bad' behaviour because you're half a second too late or don't notice some signs or such.
I would first start changing her attitude about just wearing a leadrope. Eg. Clip it on but don't ask anything of her. Ignore her 'bad' behaviour & dirty looks & try to distract her. As soon as she changes her demeanor, I'd reward her(with a Good Thing ie treat) and unclip the lead. Repeat this exercise over until she starts to look forward to you clipping the lead on.
Then I'd start asking for only 1-few steps to begin with, before stopping again. Positively reinforce whatever reasonable behaviour you get instantly and try to ignore the 'bad' behaviour & keep asking for what you want, until you get the smallest 'try' from her. Ensure to use well timed negative reinforcement too(removal of pressure) to quit the 'game'on good notes before it gets too tedious for her. Just don't let her call the shots.