No problem. I know how hard it is to have to crack on with something on your own.
Don't worry, you won't have hurt her giving her a bath. She flapped out because she panicked is all. If she lay there passively instead of fighting, then that would be much more concerning. Take a bit of feistiness as a good sign!
That last pic doesn't look like a prolapse although they can pop in and out. If it is (and not clear from the pic before) then it looks small and potentially fixable. Trimming the butt feathers will help keep her clean until it is sorted.
I don't know if this is a reproductive, intestinal, disease or physiological problem. I'm no expert and the experts have given you some really good advice here. What does your instinct tell you is wrong? Sometimes that is the best thing to listen to when there are too many possibilities to consider.
Is she eating and drinking OK?