Flush the **** outta it, maybe if you can inject Chlorine into it, GREEN is NOT KEEN...
Ours is brownish, I pulled the aerators, faucets, sink plugs, etc... What a effing disaster 4 me,,,,
Seriously, blow your lines with good old clorox, then run it with clear water until you no longer smell the clorox....
With any luck you can beat this thing, but it needs to be done ASAP as that freaking green mold turns to black, and at that point you are kinda sorta hosed... I'm dealing with it now, and am on inhalers because of the damned black mold - its a perpetual battle here (they even sell "Anti-Muffa Spray" which is something like 18-22% Chlorine - you learn to treat it with respect!) but if you don't give it its due dillinger, er, dilligence, it'll come back to whack ya. You have to wear a mask and gloves to work with it, but it will beat it out. We also have a line infuser on the service inlet of our "city" water where we can blow out our lines every few years.
Just be careful, as what kills that living organism called Mold will also kill that living organizm called people. Or at least eff up your lungs - and my lungs are already effed from breathing various hazmats, etc., and a healthy doze of coal smoke (but oh, that smell!!) and asphalt fumes and vehicle exhaust for a few dozens of years.