While I agree with most of this, the real credit goes to Southwest Airlines. They train and train and train their pilots for scenarios such as this. The pilot simply followed her training to quickly get to a lower altitude and head for the nearest airport. The plane was fully airworthy, even on one engine.
Every now and then, the pilot is in a scenario for which was no training (the complete loss of hydraulics on a United flight that crashed in Sioux City, SD in 1989), but this was not one of them. Similarly, the USAirways flight that went into the Hudson 10 years ago.... there is training for loss of power on takeoff AND water landings, but water landings are about minimal loss of life. Sully executed a perfect water landing and his decision making impeccable. That was not trained.
This pilot was experienced and likely very skilled, but the recovery was "routine" because her training was excellent.
United, Delta, American, Southwest all have excellent training programs for their pilots. OTH, I would be a little worried in a similar scenario on a commuter airline (the airlines that fly the small planes and jets under the banner of the larger airline).... some of those pilots don't have much experience at all.