Basking Spot... TOO hot?

Hi, I just recently got a bearded dragon. I built her a nice enclosure, it is 36'' long, 24'' wide, and 18" tall. I am using a phillips 45w flood light for the heat and it seems to be too hot. I have a probe thermometer and it gets up to 116 degrees on the basking spot. Also, the dragon sits up taller then the probe so she is closer to the light. Whenever she does bask she gets dark spots on her tail and head (her back is in shed so I can't tell if it gets dark) and she doesn't seem to enjoy basking. She doesn't bask for long then goes and gets in her cave. She is very friendly, I feed her dubia, collard greens, crickets, phoenix worms, and turnip greens. She gets her calcium, multi vitamin, probiotics, I mist and bath her, and clean her cage, etc. She has a reptison 10.0 uvb too. When I give her play time on the floor she runs around and seems to really enjoy herself. She hides in her cave and takes quite a while to get her skin color back to normal. The question is... is she too hot? If so what light bulb should I get her? I really need help asap so I can get it fixed, I really don't want to burn her or anything of that matter.

116 is a bit hot. I wouldn't go higher than 110 or so with a young dragon. The most important thing though is to provide a nice gradient across the tank. Try getting the basking area up to around 105-110 with an area of 90s around that and a cool side of around 75-80 or so. I would try either elevating the basking light a little bit to cool off the basking area, or I'd put it on a lamp dimmer and cut a little bit of power to get the temps you need.

But will the dimmer work with a timer?

Yeah, go Light - Dimmer- Timer. The timer will just cut power completely when it goes off and when it's on only the amount of power the dimmer allows will reach the light.

Ok thanks! I hope she will be okay.