@515hawkeye,
I don't think you did anything wrong. I am in a similar situation. I have a daughter who has a mother, and I have a girlfriend.
My girlfriend understands that I have co-parenting relationship with the mother of my daughter. My daughter is important to me. Keeping a cooperative relationship with the mother of my daughter is important to me. I go with her mother to my daughter's performances, meetings with teachers, presentations, girl scout activities. It is all part of being a good father... looking out for what is best for your child.
Your girlfriend is being ridiculous. If she can't accept that you are a father, then she shouldn't be dating someone with children.