Major problem.

I could do this by troubleshooting, but it will be easier to ask here
and hope someone else has experienced this problem and then fix it due
to it being 35degrees below ZERO here and I have no garage. PLEASE
HELP.

It starts like this. I turn on the headlights, the wipers start going
and the right blinker light on the dash stays on. On the outside of
the car the right headlight does not work. This problem was
intermittent but is now every morning. It does not seem to happen as
often when it is warmed up but this may be coincidence. PLEASE HELP
ME.

 

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We need to know what vehicle, the mileage, and where you are.

Are you saying the vehicle is RUNNING, or is this before you start it?
Did you read the 'trick' in the owner's manual about starting in extreme
cold?

'Curly'

 

Chances are pretty good there's a problem with the ICU behind the driver's
kick panel.

Giving year, model, engine, trim level and mileage would help.

 

Again, not knowing the vehicle... I'm going to go out on a limb and focus
your attention on the ground for the right headlight. I believe current is
sneaking back through the low resistance of the headlight to power the other
bulb and to spoof the wiper somehow. Since it seems temperature sensitive I
suspect it is at the place where the ground is supposed to connect to the
body; the screw needs to be removed, the metal scraped or sanded shiny, and
the connection reattached.

Mike