What should I do about this girl starting rumors about me?

Step to her aggressively and apologize, even if your not sorry or if you don't know what you did. Then after you apologize then tell her your problem , which is her spreading rumors about you because that is crud. (Some girl is doing this childish shit to me.)

Definitely let it go, show her who the bigger person is here...honestly, an ignorant person would start rumors of the such...laugh to yourself, know that you are better and get a huge superiority complex from it...

You are above age 18, it's up to you but realize assault charges could be pressed and all that. I would never fight and I'm in high school for 2 reasons. 1. I get suspended and that screws up my college choices which will screw up my career 2. I'm the pitcher for the varsity baseball team, and if I hurt my arm. That will be the biggest mistake.

In my opinion she is probably jealous of you for one reason or another and wants you totally embarrassed.
Unless you did something to her which provoked a hatred for you, which in turn caused her to spread rumors about you.
So think about it first, then either fight back if you're willing the trouble and the wrong attention, or ignore it even if you don't want to.
Ignoring it is always your best bet.

If a girl is making rumors confront her. Tell her how you feel. Like an adult though. If she swings at you swing back.

Don't do anything immature like yell the whole time and call her names

Depending if your age is between 18-24 let it go , or if you are determined make sure it is just you 2 wear gloves and if she goes to the cops deny it . if you are younger and in high school keep it off campus and I gaurantee she won't tell anyone because she will be to afraid.

Do you really need to ask that? Do you want to go to jail because she can not seem to keep her mouth closed? I would not and I have that problem to the fighting one anyways but it only gets you in trouble and while you're in trouble they are still running their mouths about you so what does it do really?

Hey sometimes friends give the best advise...as much as you don't want to you have to let it go!
Maybe confront her about it but don't go crazy because doing it just lets her know that she won! And no one wants the bully to win!

Don't fight her, but definitely tell someone! Or instead of fighting, talk to her peacefully. Also , if you don't wanna do any of the above, IGNORE her! If people come up and start asking you if you really hang out at your grandparents house everyday, or something like that... then just say that that is rumor that you have already heard of and that it is not true! People will believe you when they don't see that you are making a big fuss about it. Also the girl will stop spreading rumors. Also realize that the only reason she is spreading rumors about you is because she is jealous!