It’s normal for an engine to heat up when running. In fact, if an engine isn’t running between 195 and 220 degrees, it could indicate an issue. Of course, a transmission working with all its moving parts and under a greater load, like pulling a trailer, will get a bit hot. The issue with the 68RFE is that whether it be due to a sweltering day, pushing the transmission to its limit, or upkeep neglect, it’s been known to go well past healthy operation temperatures.
The 68RFE is susceptible to a variety of ailments when reaching heat beyond its normal bounds. Problems such as odd burning smells, strange shifting behavior, and abnormal vibration during travel could all indicate the transmission is getting too hot under the collar. If you notice these symptoms quickly and get your transmission inspected, damage will likely be minimal. But, if you continually overheat your transmission, you could completely seize it up, necessitating either a rebuild or outright replacement.