Then telling me I'm the abuser
That is accuser/Controller Class 101. Projection. Transference. Blaming. Blame-Shifting.
First, never ever touch her, not even to get past her. With people like that, they'll use any physical contact to claim being hit, punched, slammed against a wall, tripped down steps, thrown down the elevator shaft, etc.
Second, do not initiate any contact with her. If you don't seek her out then you're less likely to have confrontation or be viewed as an aggressor.
Third, if she contacts you, politely but promptly end the contact. Continuing to talk could encourage her to keep contacting you. Getting any sort of reaction from you is probably her goal and is called "negative engagement".
Fourth, do not communicate with her without a willing witness that you're not the one behaving poorly. If no one is around, then find a way to record during the encounter. There are so many devices that record these days that you probably won't get in trouble for recording. However, never ever wave a device in her face or make a fuss about it, do it quietly and without fanfare, you don't want to appear to be taunting her. If she notices you recording and she objects, then simply invite her to leave. Or you leave.
Fifth, if you encounter her somewhere, she is likely to cause a scene and if she was there first then leave. If it's a supermarket, you can always find another one. If it's a fuel station, you can always find another one. If it's your work, then determine how best to enter and exit without her interference. Same for your residence, ask the police how best to not to disturb you at or near your home.
In summary, there's only so much you can do to 'stop' her actions. The rest is up to you and your thoughtful responses... .stay calm, never say or do anything that could be twisted into an allegation, exit promptly, record yourself so you can prove you're not the one behaving badly. People like her know how to catch us off guard and unprepared, so be prepared and be very familiar with how you would handle a variety of scenarios.
If this is likely to become a police or court matter with you being charged as an abuser or she trying to get "protection" from you, then you need local legal advice. We're peer support. We've "been there, done that". We have an immense sum of collective wisdom... .but you may need to get ahead of her and at least get a legal consultation. Think of it like insurance, accuser insurance.
Another item to keep in mind... .Unless you are her very first, she is likely to have a long history of doing this to others. There's probably a police or court paper trail of her making allegations against others or others seeking protection from her. Such documentation may help you avoid becoming another of her victims.