(Sorry I'm paranoid!)

I have a 75W infrared heat bulb that sits on top of the tank. The bulb itself is about an inch or so inside of the lamp. I have a branch, that was bigger then I realized and it's about an inch from the top of the cage, my BP was on top of this last night and he was touching the screen, is this bad? And about the light, at it's closest it's about 2 inches from the end of the branch. The lamp is fairly toasty, Is it possible that my snake could get burned on this just by touching the lamp through the screen? I usually have it on during the day while he's asleep, but it was kinda chilly in my room last night so i left it on for a while until the room temp got warm. I also have an UTH but with only that on the temp is maybe 75 and with the heat lamp it's closer to 90. Right above the UTH stays pretty warm. I need to get a probe to check just how warm, I touched the substrate and it was warm, but not very hot, so I'm guessing that's a good thing. Thanks for the help. Again sorry about all the questions, I'm just paranoid and want to give my animals the best environment I can.

D