well that big connector block is a monster with 5 or 7 wires (looks like 6 for your car)
they are all lucas spade female connectors with a tab on the back to keep them in the block
if the block has overheated the captive female spades are no longer captive
you push the block onto the switch contacts and that action just pushes all of the captive contacts out of the connector
hot glue em in..
some are live some are not any short circuit here is usually very messy.
however don't be confident yet.....the car should start with the headlamp switch disconnected completely... couple of loose cables at this switch will only stop it from working if they Dead short to the dash or body. smoke, flames, zapping crackling frying bacon noise.... new pants
while you were grappling with that. you knocked something else into contact again...which may last as a good connection for 1 day or 100 years....
to get to the lamp switch you will have disturbed the feed to the ignition switch as the two branches of the loom are just 1 branch from the middle of the car or you went up under the column head-in-the-footwell style and jigged the fuse box.
or wiggled the ammeter connectors (regardless of if they go through the ammeter or have been bolted together and wrapped in tape)
either way your issue sounds like its driver side of the bulkhead rather than engine side and is fixed.........................................for the time being

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power meet as in driving to scandinavia ?

are you a member of the royal automobile club?
Dave