Ahhh! Dam Coccidia, its a pain in the bum! I've heard that most beardies have low levels of coccidia in their system, but provided their immune system is ok its not a problem, they just live with it. When they are stressed or their immune system is weakened for what ever reason, the coccidia levels increase and cause problems. Fortunately its treatable!
Also its a good idea to sterilise your vivarium and all the contents, and keep her on kitchen roll until shes been given the all clear. This way you reduce the likely hood of re-infection because the parasites can linger on where ever her vent has touched! Kitchen roll is more hygenic and can be frequently replaced.
My first beardie had chronic coccidia so I know about all this (in his case though he had a far far more serious problem which was lowering his immunity!)
Hope the syringe feeding goes well and she perks up soon!