I cut to the quick once while cutting YY's nails - and quickly applied something to stop the bleeding tho there was not that much but I felt so bad that I'd hurt my baby!! And I was alone - no-one to distract her! But she was just a kitten.
The best thing I can recommend is to get right into the routine asap so she knows this was no big deal.
"There are two means of refuge from the miseries of life: music and cats" Albert Schweitzer