There is a valve on the front pass side of the engine that is controlled by the ECM to shut coolant flow from the engines coolant pump to the trans cooler but it’s not a pump. If that’s stuck shut for sure the trans would run hot but sounds like it was replaced (maybe). Usually on these cars the engine is running too hot from a failed thermostat and the hot engine overheats the trans since they share the same coolant system. Unfortunately, the coolant bar graph in the dash is really dampened and stays dead center from 170 -237 degrees. At 238 degrees it places the actual coolant number above it to tell you it’s hot. You might just have an engine running too hot overheating the trans. Ford does have an updated thermostat with a plastic side to them that came out about 6 months ago. If you have the repair order for what the dealer replaced, post the part numbers installed and we can see if that’s the trans cooling valve or engine water pump.