She's likely picking up on the change of the season. Dozens of people here have reported their california kings going off feed over the past month, so you're not alone.
Mine too, a 2 year old, went 6 weeks without feeding, starting in late August. I moved her cage to a different room where I control the light cycles artificially. After a week of being in the new room, she ate 2 f/t mice.
I don't claim moving her to the new room with controlled light cycles is what caused her to resume feeding -- it could be complete coincidence. But sometimes tweaking a variable like light cycles or other environmental elements can help.
In the photo, yours appears to be a healthy girl who should have no problem going a month or two or more without eating. As I'm sure you're well aware, kings have a mind and will all their own. So we their loyal subjects can only serve them as dutifully as we can. 
Continue offering food weekly. Of course, if you suspect health issues or notice a significant weight loss, take her to a herp vet. But given the number of cali kings going off feed this time of year her behavior doesn't sound abnormal by any stretch.