I'm a woman and got HSV1 genitally from a male partner, fwiw. We were having unprotected sex for years before he told me he'd had it for decades, albeit pretty mildly. Thus, I'd say, it's possible. :-) I, however, haven't (to my knowledge) transmitted to any other male partners; I've had one partner with whom I don't use condoms, and I'm not on any suppressive treatment.
Wow this gives me a bit of hope knowing I can go years without transmitting it to anyone. How many years were you with your husband before you got the virus?