How long since she last ate? Just that axies can go without food for almost a month. Also, does she have any sign of infection or fungus or other symptoms?
Also, what is the tank temp.? Have you tried cooling the tank water, using a fan blowing across the top of the water surface or bottles of frozen dechlorinated water (in case the bottle bursts and leaks into the tank) floating in tank and rotated when the water melts? If you could afford it a chiller would be better, otherwise there have been a few people that have made homemade chillers for their tanks. Use the Search, between Topics and Register, to search this site for "homemade chillers".
The fridge won't necessarily make her eat again, it will destress her (if she is stressed), slow her metabolism down and give her a chance to heal. Axies will not necessarily eat if the fridge temp is between about 5 degree's celcius - 9/10 deg cel (sorry, not sure of fahrenheit).
If putting in fridge, foodsafe plastic or glass container with a lid. Wrap container in a dish cloth/towel to stop the light flashing and temperature spikes from opening/closing of fridge door. Do not put in fridge if fridge temp is lower than 5degrees celcius. A bottle or extra container of dechlorinated water to also be kept in fridge as you will need to do complete daily waterchanges. Offer food every couple of days, but she may not eat even then.