The Met Office has extended the warning area again - it now takes in nearly all of the county, with the exception of the very north east corner.
Snow and ice warnings are in place there.
'Overnight, the main feature will be the increase in wind as Caroline starts to come in towards the end of the night.
Snow showers are expected to become increasingly frequent over northern Scotland late on Thursday and are expected across many other parts of Scotland, Northern Ireland, Wales and western England on Friday.
Sunday's weather warning is in force from 04.00 on Sunday until 23:55.
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"Some rural communities could be cut off and power supplies interrupted".
The Met Office now has a yellow "be aware" wind warning covering northern Scotland.
"A spell of heavy snow is possible over some central parts of the United Kingdom during Sunday", reports the Met Office.
There will be potentially damaging gusts of up to 80mph there, with higher speeds possible across the Northern and Western Isles.
Government forecasters expect this month to be hit by easterly winds, which frequently come from as far away as Russian Federation and Siberia to bring Britain's coldest winter weather.
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Across the United Kingdom, conditions will start to turn wet and blustery overnight, especially across the North and North West, with strong winds expected early on Thursday.
A spokeswoman said: "Possible travel delays on roads, stranding some vehicles and passengers with possible delays and cancellations to rail and air travel".
Ex-BBC and Met Office forecaster John Hammond said: "Much colder easterlies could arrive, meaning a predominantly chilly run-up to Christmas".
"During winter weather which brings snow showers, it is not uncommon for snow amounts to vary considerably across short distances", said the Chief Forecaster.
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