I don't have a lot to add but just wanted to say not to give up just yet... How old is your dd? Tiny, I'm assuming? Niri kind of touched on it, but I would suggest changing positions. A duct that she may not be empyting properly or can't get to at a certain angle, she might be able to reach it from another. KWIM?
Another option would be to try pumping some. It might take a little bit to figure out exacatly how much to pump until she's able to get past the creamier milk and get to the more watery stuff. A benefit to this is that you can freeze it for later.
