No. If your cut was open and you had it on your finger, and you fingered her when she had an outbreak, perhaps.
But you didn't directly touch her with your hand, so no.
You have a lot of anxiety about HIV and STDs. Have you considered not having sex with people who you aren't in a monogamous relationship with, and only having sex with people who's STDs statuses you are sure of? Some people don't do well with casual sex, and that's okay. We're all different.