Sakura is a extraordinary ninja. She specialize in medical ninjustu, taijustu, and evasion.
Hidan uses mostly combat taijustu skills. While sakura can fight at a range. Sakura is defiantely one of hidan worse nightmares. While hidan relies strictly on taijustu skills and getting blood from you sakura can simply punch the ground sending him meters away. 
. Hidan wont even be able to touch sakura if shes on top of Katsuyu. Sakura can also amplify Katsuyu acid slime to be triple it size by giving her more chakra. She did the same thing to dauri here 
. Sakura is also trained in the arts of evasion not to get hit. 
.Sakura also have poison smoke bombs to knock her enemies out.
this is my opening statement.