Newborn with sick older kids

Jaclyn

So I had my 3rd boy in oct. I have a 4 year old and 6 year old who always seem to be sick in the winter. I’m not breastfeeding. So does this mean I’m just screwed as a mom? I wasn’t able to get the flu shot while I was pregnant because I was sick. Does this mean my newborn is in serious trouble if he contracts the flu? I never worried about this stuff with the other 2 but now I can’t stop worrying