Those warnings continue into Thursday for much of Wales, the South West, North West, and north-east Scotland.
George Flinton of the AA said: "Heavy rain and strong wind, coupled with commuting home in the dark, can make for some very hazardous driving conditions".
The yellow warning runs from 03:00 until 15:00 GMT.
Travel has been disrupted by wet and windy weather, ahead of Storm Diana which is expected to bring severe gales to NI.
Mr Miles added: "Anyone in the United Kingdom can expect to see wind and rain over the next few days".
Image The weather forecast for the next two days. Kort Veðurstofa Íslands
This spreads NE through Ireland and the United Kingdom during Wednesday morning rush hour and further rain hits Northern Ireland and Scotland in the afternoon.
A Met Office spokesperson said: "This morning will be rather grey with extensive low cloud".
The weather caused 62 flights from Heathrow to be cancelled and 380 to be delayed by more than 15 minutes on Tuesday morning.
"Friday will see further showers with strong southwesterly winds gradually easing to a moderate southerly and the further outlook to the weekend indicates continued unsettled conditions with rain at times".
"During tomorrow winds across a large portion of the country may gust as high as 110 km/h with the strongest winds likely in southern, western and northwestern areas".
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