The pumping dilemna

So as a mommy I am very tired, I pump every two hours so that Addy can have breastmilk.  What you don't realize is that every time I go to pump I have to be away from my baby.  I can't hold her and pump and often have to go to another room to pump.  What I have guilt over is that if anything happens I spent my time with a pump instead of my little princess.  I have cried many tears over this but am hopeful that she will be the little miracle getting all this milk, which she LOVES.