Do you know if your partner already has hsv1? If she does, you can stop worrying about this altogether, because she can't get again what she already has.
If she doesn't, her intact skin (unbroken, no cuts) is a barrier to you spreading it to other areas than her mouth. That skin is too thick for the virus to penetrate.
I'm confused though - do you have oral or genital herpes? If you have genital herpes, you are only contagious from the genital area, and kissing is not a risk at all.
Especially with you talking a antiviral drug and no symptoms I wouldn’t be concerned with HSv-1 spreading. Especially to areas other than the lip