Yes - nothing to be scared about.. it is definitely , 100% the waterpump.
Mine blew last month and I got the waterpump and thermostat replaced for $975 out the door (taxes and all fees in)
Not a big deal. Just don't drive the car and get it towed to the dealer and get it done.
6MT | Sport Pkg | BMW Performance Pedals | BMW Performance SSK | CF Steering Trim | BMW Performance Black Gloss Grilles | M3 Rep Bumper | Muffler Delete 2.5"| Charcoal Delete + K&N Drop In | CDV Delete | Clutch Stop | Active Autowerke Stage II Tune | H&R Sport Springs | 18" Gunmetal CSL Reps | BurgerTuning Spacers | 225/255 Ventus V12's | ATE Super Blue/Hawk HPS | Blacklines | GP Thunder 6K Angel Eyes