Is your bulb a spiral bulb? Compact reptiglo bulbs can make them close their eyes because they are damaging. That may also be why she was at the bottom (trying to get away from it.)
She needs way more than 10 fruit flies every day. Since she is so young, feed her as much as she will eat in 5 minutes once or twice a day.
Edit: they don't always drink in front of you, so the best way to check is to look at her poop. If she is drinking enough, her urate will be white. If it is yellow or orange she needs more water. Orange is particularly bad.