Should not be much of a problem for the 737. The big problem is with 727. The Blue water can go right in the number 3 engine. There have been problems with blue ice ingestion causing failure of the number 3 engine in which 2 incidents resulted with the engine coming off the aircraft.
When I was flight engineer for Pan Am, I saw a few 727's that were leaking blue. There was a blue streak from the forward lav access panel going up and down along the windows and right into the engine.