Run till warm ,add dish soap, run longer, drain and flush many times, look for soap bubbles if none add stop leak, antifreeze, water treatment , and water, look for leaks, have a beer.Don':tape:t do it again!!!....WA7OPY
Just run it. As soon as you take the grease gun off that relief, the grease "should have" oozed back out a little. It just provides relief to the chamber containing the two bearings and the two seals. This chamber and those seals only deal with grease. The water seal is a different seal separated by an opening to fresh air via the seep hole. So worst case is you might have pushed some grease out past the seal. Check that the weep hole is open underneath so any seepage from the water seal isn't impeded and you're good to go
Neil is right, no chance you pumped grease into the coolant. I have seen several water pumps that had grease zerks installed in place of the purge fitting and the areas behind the fan pulley and in front of the water seal had lots of grease packed in there as evidence of over greasing way beyond an accidental few pumps! One had significant rust and damage to the rear bearing because the weep port between the water seal and the rear bearing and grease seal was apparently closed by dried grease, trapping moisture in that area.
If you do get oil in the coolant, the dishwasher detergent is the way to go. The dawn will work, just hard to get all the foam out.
Grease pushed out the shaft seals will accumulate behind/inside the fan pulley hub and or in the center of the water pump where there is a space between the rear grease seal and the water seal. This cavity has a drain slot cast or cut into the bottom of it so any coolant seepage will run out down the front of the engine before it can get against the grease seal.
Talley, I do not know how to attach a link to a thread but if you do a search for a thread titled "D47U Water Pump Leak" there are some pictures that may help. I rebuilt my pump and Neil is completely correct with the info he posted.
Bruce