Do you think it’s okay for someone who is sick to be around food?

I have a really really bad cough, congestion, and an extremely runny nose. I let my manager know and she said I still need to come in. I understand I can wear a mask (and I will) but personally I wouldn’t want someone this sick around my food. I also told her I had a fever of 100 too but she said it’s not high enough to miss work for. And just as an fyi I also took a covid test and it’s negative. I’m just wondering what everyone thinks about this?