Ex is threatening to sue for child support even though I'm not the father. Can she?

Okay long story short my ex cheated got pregnant. At first I agreed to stay and help take care of her and the baby, but after a while I found I couldn't move pass the face she cheated and that I didn't feel right taking care of another man's child. So before the child was born I broke it off. Two months after I did the child was born and since she has no idea who or where the real father is she plans to sue me because we were in a relationship at the time of the conception. Can she do that? Plus my name isn't even on the birth certificate. What should I do?
Ex is threatening to sue for child support even though I'm not the father. Can she?
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