I refer to mine as "Trigger". Usually I just find myself making the same comment in a car or referring to it in a certain manner and that becomes it's "name". My white truck was a mess when I got it, and stank rankly of beer and cigarettes. Hey, it was low miles and the price was right. I refer to it as the "Untidy Whitey". I'm not too particular as to how clean it's kept. It's my winter beater 4x4 wood hauler.
When I first got the Camaro, I kept looking down and seeing that I was going too fast so I'd mutter "whoa, Trigger" to myself as I braked. It stuck. The fact that I remember one particularly well endowed stripper at a birthday party whose name was Trigger also provides me with a chuckle when I say it. To me, my car is masculine (well I'm a woman what do you expect?) so it's all cool.
So what to call your RJT? Hmmm... ol' Red? new Red? big Red? Red? Reddy Freddy? Sparkle?

Dunno man, it's your car! Enjoy!