Being inhumane to an animal, whether feeder mouse or puppy, is still inhumane.
I'm a big advocate for humane treatment of all animals, so before you try and comment back something snide, I'll let you know I'm in for the long haul, so roll up your sleeves.
OP, please do not shake or try and disorient your prey before feeding. Give your girl a week to rest, and offer the mouse again.
If you don't want her to get bit, offer a prekilled mouse (you can buy frozen and thaw them, or CO2 the mouse)