You are not at less of a risk of acquiring HSV 2 because you have oral HSV 1. There is a possibility you could acquire HSV 2 by giving her oral sex but this is not a high risk. If she takes antiviral medicine daily, you avoid sex with outbreaks and you have sex about twice per week, the risk is about 2% in a year that you would acquire HSV 2 from her. That means if there were 100 uninfected men having one on one sex with 100 HSV 2 infected women, given the circumstances described above, 2 men would get HSV 2 from their partner and 98 would not. If you add condoms, the risk is reduced even more. These are AVERAGES, I don’t make any promises about transmission.