I burned the outside of my finger while placing a dish in a very hot oven, how should I treat this?

Haha! You are fine! If its not blistering up and you arent in any pain...no worries! I was going to say to ice it and run it under very cold water till the pain subsides, but seeing you arent having any pain...you are safe! If it does blister up though, keep it covered, cuz you dont want infection to settle in. Keep an eye on it, but it sounds like nothing to me.