Congratulations on your success

, but you really need to read the rules about the transportation tag

.
I don't think you can fault the game warden for giving you a ticket, unless you can find a definition of "IMMEDIATELY" that says "I can take my time walking out of the woods, go get the four wheeler, drive back up to the animal, load it up and then transport it back to your vehicle."
You are lucky he didn't confiscate your deer. Many years ago a friend of mine shot 2 does and placed the entire tag under each hind quarter. He walked back to camp to get some help and the truck and lo and behold the game warden was there. My friend excitedly tells him how he just shot 2 does and warden says great, lets go look at them and I'll check them in for you. He drives right up to the downed does, lifts up the hind legs and pulls out the complete tags. The warden gave a rather lengthy lecture about how you are supposed to separarte the tarnsportation tag IMMEDIATELY after the harvest. My friend got 2 tickets, his rifle and both deer where confiscated.