First- wonderful news that you found him so fast!
I wouldn't worry too much about his brief chill- he's probably okay & just keep an eye on him. An RI would show up as open mouth breathing, bubbles in & around the mouth, & noisy breathing (whistling, crackling, wheezing sounds). IF you don't see/hear any of that, I would AVOID taking him to a vet, or especially to a reptile shop, as he could actually pick something up from them.
He needs most to de-stress- let him rest for a week without handling- stress lowers their immune system just as it does ours. Again, so happy you found him quickly.![]()