My 2004 Lincoln LS fan is running hi idle, the thermostat has been replaced and on 2004 Lincoln LS

the system bleed, but it still running at hi idle the temperature gauge goes alittle pass half but not hot.

Asked by for the 2004 Lincoln LS
Your fan speed is computer contolled based on engine temperature.
A proper diagnosis of the fan speed problem will be necessary to figure out why its running so high. More than likely the coolant temp sensor may be giving a false signal, the fan relay may be faulty, or it may be a possible wiring issue.