If you see a green tint when you pull off the hide I'd worry. But really, it should be fine. The one thing you did exactly wrong was to wash the thing out. Unless you cut the gut or broke the urine sack you should NOT wash a deer out. Moisture is a big no no. It aids in the growth of bacteria and germs. Never wash unless you can immediately dry and slap it in a nice cold walkin cooler.
I always wash my deer after I skin them... to get excess blood, hair, etc... basically to clean the meat... I'm not asking if Davidmil is wrong, but what do you guys do??