Because they chose the cooler end does not mean you should lower your temps to unhealthy range, they thermo-regulate themselves or it could be a security issue as well.
Get your temperatures back to healthy range 75 80 on the cool side and 88-92 on the warm side, after that just leave he be and thermo-regulate as she wishes.
You MUST provide proper husbandry, the temps you are providing are not within proper range for the species and unless you want to start experiencing some issues I would suggest that you change your temps and make sure you measure them at the surface of the substrate with a digital thermometer.
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