What could cause me to not get fuel pressure when the key is on but engine not runnning?

SOURCE: my 1994 lincoln Continental fuel injector

pcm pcm relay

SOURCE: 1986 LINCOLN TOWNCAR

have you checked to see if you have spark? if you got fuel then the fuel pump is not the problem

SOURCE: 1994 lincoln mark 8 leaking oil changed valve

change the gasket on the sensors that are leaking

SOURCE: 1994 Lincoln town car is blowing black smoke and

Have the engine computer checked, find out which sensor needs to be replaced, I wouldnt run it very long like this.

SOURCE: 1999 lincoln town car, 133,000 mi. Car running

This is usually how it happens with Electric Fuel pumps. They either work or they don't. When you turn the ignition to on you should hear the pump engage and pressure up. If you don't most likely your pump is faulty. You mentioned that it did this after a freeze. It is possible that you have a frozen fuel line, Supply or return, will also cause this problem. The best you could do is move the vehicle into a garage and warm it up above freezing to allow the lines to thaw. A lot of time we get moisture build up in a tank without even knowing it. Cold fuel is supplied to the motor through the pump but the return line returns warm fuel and in a cold environment this will or can cause condensation to form in the tank and lines. Also bad fuel from a station will cause this issue. It doesn't take much with all the additives they put in fuel today. They sell fuel additive that will remove this moisture if that is the problem. try warming the vehicle up and thawing the lines. If this proves to be the issue you'll need to drop and drain the tank and lines to clear the problem or try a fuel additive to remove the moisture.