Flu shot

Ka

Hey all. I am 6 weeks today and went for a flu shot. When I got to my apt the nurse said 6 weeks is too early and they recommend getting one in the 2nd tri, but then the doctor said it was fine. So I googled it and of course i started reading bad things and now I'm all freaked out. 😫 Who all has gotten a flu shot this early and their baby is healthy?