tanif thought I would share a story that will make you feel better...many centuries ago when I had just left school I was training to be a midwife. As part of this I had to go out visiting with the community midwives.
One fine day we were visiting a woman who had had her baby about 3 days earlier, straightforward delivery but she had quite a big tear which needed stitches. One of the jobs that we had to do that day was to check her stitches as she had complained of unusual discharge....
Yup you guessed it on closer examination the discharge turned out to be from another source entirely, and pretty fresh too 
. When we asked her about it she said "well we did have sex this morning..."
Now that woman will always have my admiration primarily because 3 days postpartum the only thing on my mind was how I was going to hobble to the kitchen to make a cup of tea and sex was off the menu for a long time... 
Anyway moral of this tale is that "residue" from the night before will not be a problem, I can guarantee they have seen a lot worse than that! I'll bet their only reaction will be 
that you're seeing so much action 
Don't miss your chance just to spare the blushes of the medical profession, they are unshockable!!
As an aside, we appear to be cervix position buddies...definitely think there's a chance I am ovulating at the moment what with the copious EWCM and now the high soft position... my goodness what a screwy cycle, oh well.
I prescribe lots of SWI for both (in fact all) of us.