Help!! Should I be concerned !!??

My dad and I are prone to cold sores.. I don’t kiss my baby at all who is 6 months... my dad came by today ( he had no visible cold sores) and he kiss my on her hand!! 😳I washed her had right away she put in on her mouth!! No I’m worry of her getting the virus 😞 I do have postpartum anxiety 🤷‍♀️I don’t know if it’s just that or should I be concerned?!!l if you are prone to cold sores, do you kiss you kids when you don’t have an active sore?