I don't think this is entirely normal. My concern is that it may be an infection. Other signs would be widespread redness
in the area, swelling, pain getting worse rather than better as the wound heals. Also, a general feeling of being unwell and a fever
If the white discharge is getting worse, I think a doctor should have a closer look at the wound. If it has become infected then you may need antibiotics.
I hope this has been of help to you.