Hard to tell from the picture, but a snake that size will take a long time to actually starve. Be patient, and just try to give her the most calm, secure environment you can. You've only had a couple of refusals so far, so I wouldn't worry yet.

Everything should be fine while you're gone, provided that the snake has water the whole time. If the normal water dish would evaporate in that time, you should either find someone to come in just to check on her and give her water, or at least find a deeper water dish (that she still can't knock over).

One thing that might help getting her to eat is to watch for what time she usually wakes up or becomes active in the evening, and try to feed her then. If she's sitting with her head poking out of her hide and seems alert to movement outside the cage, it's probably a good time to try. Also try letting the rodent thaw by sitting out in the room where the snake lives, so she hopefully smells it and gets excited.

Good luck, but if she doesn't eat before you go away, don't sweat it and try again when you get back.