Some feel a slight fever is actually a good thing, it shows the body is working to fight off something. That is what our body does..
Of course if it gets into a the upper limit /danger zone, or if child/person acts listless and ill then a doctor check up is needed.
I don't think hospitals take temps more than 10 times day unless certain specific cases..

Our body needs to be exposed to germs so it can build up resistance..
And there might be worse risks to her by using all those chemical sanitizers .

It might benefit you to read about natural health options and ideas.

All this worry and obsessive actions, is not healthy for you or your daughter.

I really would suggest talking with a therapist or counsellor or such...so you can relax & enjoy good times with your child.