That's great that you used protection. Every sexual encounter carries some risk though, even with protection. Condoms offer great protection, but they're not 100% effective.

Cuts do pose some risk since wounds allow HIV and other things to enter the body. Fresh, open, bleeding wounds be the riskiest.

It does not sound like you have much to worry about. It sounds like you are probably safe. However, I would suggest testing just in case. It's better to know than to wonder.

Good luck.