You are correct that if you have HSV 2 genitally, the likelihood of him getting it orally is really low.
Female to male transmission, having intercourse about twice a week for one year, with no meds and no condoms is about 4%. If you have brand new infection, it is higher. Meds reduce it by half, condoms by 65%.
Your doc is way out of touch with prescribing of antivirals. And if your blot is positive you are both infected and potentially infectious to others. So she’s wrong about that as well, sorry to say.
If your blot is positive, I would strongly suggest daily antiviral meds to reduce transmission to partners, yes. But do the blot – find out for certain
Terri