Thunderbird wont start withou priming it but runs fine after that

Check your fuel pressure. Try turning the key on for 5 seconds, then off and back on and crank immediately - see what happens.

When checking fuel pressure attach the gauge, turn the key on and read pressure after 3 seconds - then watch pressure. It should hold for several minutes. Then start the engine - do whatever you have to to get it started. Measure running fuel pressure. Shut it off and watch the pressure . It should hold for quite some time.. What year 'Bird? I can tell you what pressure should be.

If it was just cold start problem I'd say check both IAT and coolant sensors.