The booze was not really needed to sterilize the cut, but I presume it probaby didn't hurt either. I would have went straight for the cayenne and usually by count of 10 no more blood comes out and if you wrap the cut and maybe add a little fresh cayenne the next day over the old and leave wrapped for a few days, it should heal rapidly and heal scar free.
Also a good time to fast and allow the body to concentrate on the repairs.