Cat scan while pregnant

So I went to the hospital a few days ago bc i was really sick. I had a sore throat, my ears was hurting, chest hurt when I breathed and my whole body was in pain. So the doctor took some blood samples to see if it turned positive for blood clots ion my chest and it came back positive. They made me get a cat scan done and my nurse told me to tell the person who’s doing my cat scan to cover my belly. I told her and she said it’ll cause more damage to the baby w it on than without it. Now I’m worried that the baby will come out w some type of sickness or something... I told my ob/gyn about them doing the cat scan and he was really mad that they did it. Now idk what to think. I’m scared for the babies health...

I need some opinions