Me And My New Girlfriend Recently Started Having Sex. The

Me and my new girlfriend recently started having sex. The first time we slept together was very rushed and she was somewhat dry so my penis wasn't very well lubricated and I ended up with a few cuts. We kept sleeping together multiple times after that and the cuts just kept getting bigger and worse... I tried applying polysporin with gauze but I've been reading online that it's better to just let that part of the body heal naturally. What can I do?