Even if she IS nursing, milk can be packaged so that you can take the baby on an outing.
The question is not whether or not you CAN see your daughter, the FACT is that she IS your daughter, and you MUST spend time with her. A girl will found her future relationships on her relationship with her father.
A father in a girls life is VERY important. You sound like you are starting off well, and the best of luck too you.