HIV transmission and a cut

Hi, I went to a brothel and booked a lady. Now she put the condom on me and before any sexual penetration was made she changed the condom, but while she was removing the first condom she accidentally cut me on my penis with her nails, I know because it hurt but at the time I didn't know it was cut at the time. Anyway she put the new condom on and I got on with the service. Now most of the time, I was on top, but she was on top for a little bit. The cut was at the start of my penis, so I'm not sure if the condom covered the cut or just missed it, either way the area with the cut was not exposed inside of her as far as I can tell. She wasn't too wet either. I didn't notice the cut till the end of it until i felt a sting while I was having my shower.

If the cut was outside what the condom covered, is there a chance of me contracting HIV or other STDs?

[Teak]

NO.