Cold sores

I have had cold sores for 3 years (well that's when i found out) my daughter is 3 and a month old my 3 year old gets cold sores when She's sick, shes has one now anyway how can my 1 month old get it? My 3 year old isnt allowed around my daughter or touch her at all!!!! I read on here some where that my 1 month old wont get it cause i had it when i was pregnant and shes protected now but idk if that's so true! Can some one please give me infor because in freaking my self out since my daughter has one