the tank is about 80-82º on the warm end. Is that too cold? Because I wanna get her an undertank heating pad too, but I'm scared it'll make it too hot.
It is too cold you want to aim for 88/90 range in an enclosure that size, once you will have UTH the bulb will likely be obsolete, you won't know until you adjust your setpup, and remember a UTH must be used in combination with a reliable thermostat.