Is it fine to use chopsticks that have handled raw meat to eat cooked food ?

I’ve just cooked some noodles and boiled some chicken with chicken broth. And I ate noodles with the chopsticks that had been used to both handle raw meat and stir the boiling pot of broth to eat food..

I didn’t realise I was using the same chopsticks for eating until halfway and I immediately switched to fork. I’ve heard of possible sickness due to cross contamination.. so I’m worried that I might get sick from it 😭