Battery Indicator Light came on

While driving my 1997 Chevy Malibu today my battery light came on, after I turned the fan setting from 3 to 2 (not sure if thats the cause), and won't turn off until the car is turned off. Now when I start the car, the battery indicator comes on and stays on, within a minute or so. I have no idea why this is happening as the battery is new. If anyone has any leads can you let me know.

Have the alternator tested.

also check the underhood charge fuse[s] and relay before installing a new alt. Charge voltage should be greater than 13.5v at the battery at engine idle.

would a defective charge fuse or relay cause the electrical accessories to lose power, ie wipers slowing down?