I always try and baby the wort as much as possible but honestly once the boil is complete and it's dropping temps down from a degree that can fight off the bad, that's when I start getting uber paranoid and protective of nasties.
That being said, this may make you feel better
Double boil on my electric stove complete, lids on both 4gal pots, I pull 1 lid off to take a temperature reading, turn to grab my thermometer, turn back around and notice all of the condensation from the boil that gathered underneath the fan and overhead light (our microwave is mounted above the stove) was dripping into my wort!
I hit panic mode and obviously decide to wipe the condensation off the overhang instead of putting the lid back before hand because I was being a moron that night (this was my second or third brew, pretty sure I was sauced as well). I go to wipe and the grease trap filter falls into the pot! !@#$ I pulled it out immediately with my bare fingers (another no no!), burned like hell but instinct I guess of a panicked newby, put the lid on the pot, took a breath, a drink of beer, laughed, then moved everything over to the sink, THEN proceeded with temperatures and cooling.
Reason I'm sharing this with you, it's quite possibly the dumbest thing I have ever done while brewing BUT.... after all of that made it in, I moved on, finished chilling the wort, aerated, pitched my yeast and let it do its thing. The beer turned out great.
A couple drops of bath water obviously isn't a great addition to your beer lol, but far worse could have happened and there's nothing really you can do at that point accept plow through it. I would worry about infection when that time comes, which probably won't happen.