Cold sore first trimester

Maja

I have this thing on my lower lip cold cold sore or maybe even HVS (as I read on the web). Read it can be harmful for the baby. I am 11 weeks pregnant and got this sore a days ago (now it's kind of dissappearing), but I guess it may be due to I got cold after I left home right after washjng my hair in the cold weather. What do you think? May this be dangerous for the baby or lead to MC?