Cold sore?

I'm absolutely freaking out. I just had a baby Monday and I have noticed today I've got a cold sore!!! This is the first time I've ever had one and I'm so scared that I'm going to hurt my baby. I've gotten cold sore creams and I have it constantly covered with a bandaid and I've been hand sanitizer every time I touch my face even though the blister is covered. Is my baby going to be okay??? Should I tell her pediatrician??? As soon as I saw that I was getting one I immediately told everyone in the house to not kiss the baby AT ALL. Should everything be okay???