If you want it fixed, you probably are gonna have to take the door panel off and look around inside to see what the problem is. See if any of the parts are bent or need some lube.
Just, the TJ door opening mechanism really could have been designed better, because so many people have problems with it malfunctioning. My passenger door's opening mechanism broke a little while ago, and thankfully it was an easy fix, but I still had to take the door panel off and do a bunch of hand work to the mechanism.
Shale Green Metallic, 2002 Jeep TJ X, 4.0L I6, 5-speed