Do you think that my ex-wife has any right to visit my daughter without me around?

My ex-wife and I were married for a very brief moment (two years). In that time she became very close to my daughter who is now nine years old as of Dec.30. When she left she did just that, she took off with intent on never coming back. Now she has decided on returning to Portland for school and would like to be a part of my daughters life. I have no desire to have contact with this woman and I do not really see where anyone benefits from a relationship here. What would you do? If you did not have contact with someone anymore who had intent on just leaving and never coming back but found themselves living in the same town with again. Would you let her see your child even though she treats you as if you are dead? I am trying to remain open to the idea of this. I have spoke with my daughter about it and she does not seem to care either way.