Has she ever had a bottle? I pumped (and nursed) with both my boys. One of the first things my husband did when he got home from work was give them a bottle. It was nice for me, because it gave me a little break. It was also really great for them.
This might be a good time for you to do something relaxing like take a shower. I would often hand the baby to my husband and then hop in the shower. You won't be more than 15 or 20 minutes, so she really will be ok, even if she cries. It really would be a very relaxing thing for you to do.
Also, this is totally normal. There's nothing wrong with her or you. If you choose to just let her be and not force the issue, she will be just fine. If you decide you need a break once in awhile and she's going to just have o be in Daddy's arms for a bit, she will be just fine. I promise!