How did you discover this? I ask because unless she told you herself, it may not be true. We've had so many stories about rumors here, so just proceed carefully if she didn't tell you.
1) How common is a genuinely asymptomatic HSV2 infection? I understand that many cases of genital herpes are not diagnosed. However, I'm interested to know whether that is because there are no symptoms whatsoever, or whether the symptoms are mild and/or for various reasons never presented to a doctor for diagnosis. Put simply, if I am relatively thorough in examining myself over the next couple of weeks and notice nothing out of the ordinary, is there much likelihood I may have contracted HSV2?
90% of those with ghsv2 don't know they have it because their symptoms are mild, or because they don't get symptoms. This is especially true with people who have an existing hsv1 infection, which tends to temper hsv2.
If this were a relationship, the chance that you'd get herpes from her (assuming she has it), is about 4-5% a year, if all you did was avoid sex during outbreaks. Chances of getting anything from a 1-time encounter are slim.
If this is a relationship you'd like to continue, herpes isn't a big enough deal to play a role in ending it.
There are things you can do to reduce the transmission:
Ghsv2 transmission, female to male, over the course of a year, assuming sex 2-3 times a week:
Only avoiding sex during an outbreak - 4-5%
Adding condoms OR daily suppression - 2-3%
Adding condoms AND daily suppression - 1-2%
In any case, you should get a type specific hsv IgG test now, to see if you already have hsv2. If you don't know what type of genital herpes she has, you should find out. If she has ghsv1, and you already have it, you all don't have anything to worry about.
Also, if you heard this from someone else, talk to her first before freaking out. (And really, don't freak - none of this warrants freaking out.)