I'm a female, have HPV low risk (gen warts). Does that mean I cant have unprot sex? How will it affect my partner (male) health? Will they contract it?

Up to you. Once the primary infection clears you may retain the germ in your tissues and may spread it intermittently through life. Since a condom does not cover all surfaces exposed to sexual fluids, they are not totally protective. Most do not pass it after clearing the primary infection, but the potential is there.