It's common to worry about this, but the facts are that, statistically, transmitting the virus is not very likely in absence of symptoms. I don't know if you are male or female. The statistics vary depending on the sex of the infected partner. If it is the case of the female being infected and the male being the uninfected party, over one year's time if nothing is done in the way of prevention other than avoiding risky contact when symptoms are apparent, 96% of the time there will be no transmission. If suppressive antiviral meds, or condoms are used, the risk is cut in half for each of those measures, so combining them results in a 99% likelihood of no transmission.
I'm male with both types of herpes, oral HSV1 and genital HSV2. I've been with my partner who is negative for both types by blood testing, for several years without transmission. We usually use condoms.
If you are also male then the risk of transmission to an uninfected female is slightly higher, due to the female having more exposed mucous membrane tissue.
A development to look forward to is the coming availability of antimicrobial gels.
I hope this helps. It is good to be cautious, but don't let it become an obsession.