Make sure you stay hydrated and everything should be fine. In my mind the flu isn't so different from morning sickness when nothing stays down. Just drink a lot of water and maybe Gatorade or something. If you're still worried when you get better you could always have your provider check on baby for you.
If you get a fever take tylenol you need to keep your fever down
Ive been sick 3 times this pregnancy and what works for me is staying hydrated, drinking hot tea, and sleeping it off.
I went to the hospital once while sick and they told me what i was doing (sleep and hydration) was the best I could do. She told me to let it run its course and after 4 days if its not better then I needed to see my doctor to get medicine. Luckily, it never got worse!!
I just had a horrible cold. It was feeling bad on top of feeling pregnancy symptoms. I stayed home for the duration and drank water and slept. All you can do really, since you can't take a ton of medicine.