Tan, I agree with the suggestion to try a straw cup. The other thing to bear in mind, is that all babies apparently can drink from a cup from birth (ie a normal cup like us), it's just much harder work for us as we have to hold the cup for them and make sure it doesn't spill (and it probably will a bit so it's messy). But in an emergency that could be a way to get fluid into her.

Also have you tried giving her water in the cup or bottle instead of EBM?