No, it doesn't mean you have it, but you could. You could have already had it - about half of the adult population does, and 90% of those will never get any symptoms. You could have gotten it from her if you don't already have it.
You can find out if you already have it by asking your doctor for a type specific IgG herpes blood test. Do that now. It can take up to 4 months to develop antibodies, but most will by 6 weeks. If you do it now, you'll know if you already had it before kissing her.
If you already have it, what changes? Not very much, really. You should probably decide to inform partners before oral sex, at least, if not kissing, but not everyone decides to tell before kissing (if they even know they have it). Statistically, you've already kissed people with it, including your parents, grandparents, aunts, uncles, etc. You've likely shared drinks, eating utensils (forks, spoons, and the like) with someone who has it, too.
If you get symptoms, it will be oral. Herpes doesn't travel through the body to another location, so you'd only have oral herpes if all you did was kiss.
If you liked her otherwise, this is NOT a reason to stop seeing her, considering that about half of the women you date will have it. If you have a germ phobia, though, and will panic every time you kiss, then perhaps let her find someone who won't, and you can find someone who won't cause panic with intimacy. That's only fair for you both.