You are the one to decide when it is right to introduce your daughter and your woman. Your daughter may need a little pressure to take the leap and meet your girlfriend but it should not be coming from your girlfriend.

I have to wonder first of all what is so wrong with her having to be alone for a week end. If you make the relationship more premanant there will be times when you will be apart. What will she do then? It sounds to me like for some reason she is afraid to be away from you. I can understand that she loves you and enjoys spending time with you but there are areas of your life that do not involve her. Your relationship with your daughter right now is one of those situations.

Listen to your daughter. You only have her for a short time and she will be gone. Make the time you have her home the best you can.