Is it safe to use Neosporin on peeled skin near clitoris?

Recently, during some late night activities, my nail managed to scratch the skin just above my clitoris (not on it) and it scraped a small circle of skin off. It’s night so I can’t call my doctor to ask, but you can see where it peeled off and where the new skin is shiny beneath, but I wasn’t sure if it’s okay to use Neosporin on it? I put a bit of saliva on it since I’ve heard that it can disinfect, but I wanted to put some sort of ointment on it so I don’t chance it getting infected.