Sick with a 7 weeks newborn

Sousou
I woke up yesterday with a horrible pain in my nose as if someone punched me in the nose and then I started to have a runny nose. When I take tylenol the pain goes away as well as my runny nose. 
I am mostly worried for my 7 weeks daughter. I took the flu shot when I was pregnant and I am not breastfeeding her. 
I am washing my hands as often as I can but do you think she could get sick because of me ?