It seems like there is a bit of inflammation going on,I would suggest not to apply any anti septic on the area as it can irritate it more.
I would suggest to start applying Bacitracin
ointment two times a day and Tablet Ibuprofen
400 mg three times ,after your main meaks,a day for five days.(make sure you are not taking any blood thinners or allergic to anti inflammatories).
I am sure it will heal up with the above mentioned medications but if not then certainly you need to see your GP to have a look and proceed further.
Thanks very much and all the best.