So I'll address you first, then your partner.
You have antibodies already for hsv2. These are things that develop every time we get an infection and they help us fight it. With herpes, they develop usually within a few weeks up to 12 weeks after exposure, and they stay with us forever. Once we have those, we can't get the same strain again in a different location on our bodies. You don't need to worry about hsv2 anywhere else.
Also, and this is for you and your partner, hsv2 doesn't really like the mouth. It can infect the mouth, but it's rare.
Your partner might get something called herpetic whitlow, if he had a break in the skin, but that's also rare. Herpetic whitlow usually happens in those who work in dentistry who have their fingers in people's mouths, and their patients have hsv1.
You are not nearly as infectious as you think you are. Practically speaking, you would only infect someone if they have actual penetrative sex with you. It takes some friction with direct genital skin on skin contact to transmit, and that's the kind that sex provides.
I don't know if you've ever seen transmission rates, but we know those.
Ghsv2 transmission, female to male, over the course of a year, assuming sex 2-3 times a week (I use "female" and "male" for brevity, but I mean nothing more than the parts you have. Your gender identity is yours.):
Only avoiding sex during an outbreak - 4-5%
Adding condoms OR daily suppression - 2-3%
Adding condoms AND daily suppression - 1-2%
So if you are taking Valtrex daily, your male partner has a 97-98% chance of NOT getting it each year. You can find all this in the herpes handbook - https://westoverheights.com/herpes/the-updated-herpes-handbook/ That's free and written by Terri Warren, one of the world's leading herpes experts. You can read it right on your phone or computer.
I hope this helps, but let me know if you have any questions or concerns.