Can I sue my coworker for getting me sick?

This one coworker has a cough and has had it for a month now. She told us it’s because she got an infusion so I didn’t think much of her cough. So me and this coworker would always switch spot. We work different shifts so when I come in she’s going out so I’m her relief. Although we wipe our station down before leaving I managed to catch her cold. I had the cold for two weeks but now I have a whooshing sound in my right ear. The dr told me I had fluid in the back of my ear and I should see a specialist. Coincidentally enough this coworker was explaining to our other coworkers how she has the same problem with her ear and the dr told her the same thing and that she should drain it. I feel like my life was put in danger. Can I do something about it?
Can I sue my coworker for getting me sick?
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