92 cougar problem??

You didnt say how many miles on it, but we can surmise.

The place to start with all idle/stop idle recovery problems which seem temp related is the IAC... aka ISC.

This is the valve that sits astride the throttle butterfly and controls engine idle speed. As with the choke on a carburetor it positions depending on engine temp. A rough place or bit of dirt/carbon in some area will cause that.

Removing it (two bolts) and spraying well with intake cleaner often at least changes the point at which you have idle problems, sometimes fixes it for a while. The only feasible long-term solution, most have found, is a new valve and actuator assembly. Not real expensive

IAC valve.