In the very center is a torx drive. I'd suggest that is for turning the connector some partial turn and it will come out. Otherwise I do not know or have any experience with this.
I did some searching and could not find one like that. I'm guessing that you may have a 4l80 transmission, but I don't know if they used those in motor home applications or not.
Can't blame you for not turning it with a lot of force. There's bound to be someone that can give you the proper procedure. I think hitting the GM truck forums will find an answer.
It’s a 4L80e. That’s the pass thru connector to the trans solenoids and pressure switch assembly. You may have a leaky connector. They caused many problems but can be fixed with oil proof GE silicone. But you need to diagnose first. It’s probably been fixed with a new connector years ago. A scan tool or using a jumper from A to B on the ALDL under the dash (key on engine off). I think you need to get a manual online before spending money or drawing any conclusions.
Warrior
Winnebago Camper, be aware that unless you have a good charge on the battery, it will not shift into higher gear. I discovered this on a 1996 Winnebago Adventurer on the way to the transmission shop. While in route, the battery charged enough to power the transmission and it worked great. I simply turned around and took her back home.