It could be roseola. My oldest had 103 fever for 3 days when he was about a year old. No other symptoms, just fever. He was cheerful and happy. I can't remember if he ate or not because I was nursing still. He did do that a lot.
The fever broke on the third day, and then he got a rash all over his body.
You should not mess with a fever if the child is feeling fine. The only reason to do anything with a fever is if the child is very uncomfortable.
I would take her to the doctor, just in case. If she has not been vaccinated for Hib, they will want to rule that out. Otherwise, it just sounds like her little immune system is responding to something she was exposed to and her body is doing what it should. It's normal for kids not to want to eat during a fever. Try to get her to drink if you can, and stay away from sugar and dairy. You can also put a lemon compress on her, it draws out heat.
My youngest has a cold right now that started with a fever. It's been about 2 weeks and we still have it. Lots of stuff going around this time of year. I would absolutely keep her home from daycare if she's in one.
I was just thinking, it could also be a bladder infection. I would take her in today.