"...nothing happens..."

Resolder the relay. It costs $0, takes 15 minutes, and has zero risk. If it helps, great! But if not, you're out $0.

"...are you sure that this could be caused by the relay?"

Yes, or the push button or wire to the button. The OD indicator light is the key. Its functioning is completely independant of the OD, solenoid, or wiring to the solenoid. It depends only on the electronic logic 'n operation of the relay. It tells you ONLY that the relay has pulled in. On=pulled in, not on=not pulled in.

It could possibly be a temperature-sensitive fuse, but I've never seen one.

"...tips&tricks for dealing with the OD relay?"

Well, it's easy to deal with. You do it all by just sitting around.

Remove the glove box (7 screws), and look in and to the left about 4" and 4". The relay is clipped to a horizontal metal strut and usually buried under a buncha harnesses. Remove and discard the clip—it causes more trouble than it's worth (often squeezes the plastic cover so much it binds against the relay).

"...easy for you to say; it's cold outside..."

Unplug the relay and go inside — resolder in the warmth of your home.

Don Foster (near Cape Cod, MA)