Have you actually been diagnosed with genital herpes?
Have you been placed on any antiviral medication?
OK, if you have not been formally diagnosed with genital herpes, then could you please explain your concern for spreading this condition? Have you noticed a groin rash or specific symptoms?
This all comes down to formal diagnosis of herpes in yourself, which would require a culture taken from any suspicious blisters on the genitals or perhaps lips (HSV-2, the virus that usually causes genital herpes, can also cause lip cold sores) or a blood test. Until a confirmatory test is done, your question about spreading this exact condition is impossible to answer fully.
But, if we assume that you did contract HSV-2 from unprotected sex with a partner known to have this infection, then these facts apply:
1. HSV-2 infection is not curable. Proper use of prescription antiviral medicines like acyclovir, famciclovir, and valacyclovir at the beginning of flare-ups can help sores heal faster and avoid relapses.
2. During a flare-up with visible lesions, avoid sexual contact since the virus is spread by direct skin-to-skin contact.
3. It is possible to spread HSV-2 even when lesions are not visible.
4. Never touch the sores, and always wash hands before touching other areas of the body, especially the face (e.g., after urinating).
5. Latex condoms should be used regularly since HSV-2 can be spread through unprotected sex. The exact odds of spread cannot be predicted, but the risk of spread is always present after HSV-2 infection.
6. Open communication with intimate partners is important to avoid transmission.
The first part of that question was correct: Assuming that you have herpes, there is a chance that you did not spread it during unprotected sex. I would advise going for testing--if negative, it may relieve your worries about spread completely.