Should I completely cut the connection with this girl?

There was this girl from my old class and ten years later she messages me on Facebook and we even met up with each other. We have spoken a lot, but I get very bad vibes from her, to the point where I feel sick. I understand that she is anorexic, but she constantly hates on people, she's depressed, suicidal and even attempted suicide not long ago, she is extremely pessimistic.
I told her to talk to her parents about her problems and to keep a better connection with a counselor, but she keeps on saying that nobody understands her. When I talk to her on Skype she makes these strange movements with her hands trying to imitate a wave.
I have met girls who also said how they attempted suicide, but turned out not to be true. For instance she attempted to hang herself in the wardrobe and the police broke down the door of her apartment and pulled her out of the wardrobe and arrested her. According to her, she didn't call anybody at all and nobody knew. So now I can't be quite sure of her.
We were never friends and I really don't want to go back in the past because it was so long ago, she already these couple of months with talking to her made me feel sick. I was actually depressed for a month and I don't even have mental health problems, also one risk factor for suicide is exposure to others who are suicidal.
I don't want to tell her this, because if she then kills herself I will feel guilty, at the same time this is not healthy for me, and I feel I need to slowly cut the connection.