Well, there you go. They'd rather have you healthy and happy than sneezy and ill. Rest up so you can get over this minor thing quickly, and you'll be back to work as soon as... they let you?
There was only one time that I mentioned my concern over someone's illness to my supervisor. This co-worker had been visibly ill for 2 weeks, sounded/looked like she should be hospitalized. I was asked to go on a 16-hour car ride with her. I expressed some concern over her health. It was noted, weighed, and discarded. Not only did I have to do the trip, I also had to share a hotel room with the sickie, and work alongside her for the duration of the project. I inevitably caught the nasty illness she was spreading. That experience convinced me to get a flu shot this year. I never want to have to worry over something so stupid again.