It CAN take up to 3 months to make antibody BUT it can show up in a couple of weeks with a low value.
About half the population has HSV 1 and still the majority is oral.
Have you ever in your life had a cold sore on your lip or in your nose? If yes, that is the source of your HSV 1 antibody.
If you had acquired HSV from giving oral sex, it would more likely be HSV 2, not HSV 1.