Put a fresh 9v battery in it, even if non-rechargeable, and power up. If it works, perform the basic operation tests at minimum, as specified in the manual, and if you have the gear, do performance tests. These tests insure all is well with the DMM. Its less likely the DMM has been damaged but without a schematic, you never know. The charge terminals are on the low amps terminal that will engage when the rotary knob is set to it, which is past the ohms setting, and likely will blow a fuse if it were set here during charging.
Chances are the NiMH battery needs to be cycled as its been deep discharged.
A simple way to restart the 9V NiMH is apply 8Vdc 40mA for 1 minute and then charge it in the DMM or use an external 9V NiMH charger instead. If the battery doesn't charge or fails the self test repeat 8V 40mA procedure for up to 5 minutes. If it fails, the battery is likely dead. If the battery charges up cycle it: charge full then discharge to 7V, 3 times.
While Agilent likely would have designed shut down circuitry if the battery provided <= 7Vdc, the battery could also be permanently damaged as 9V NiMH are made of series 1.2V cells that could suffer polarity reversal if overdischarged.