The rain is expected in Sheffield from around noon and is due to last for the rest of the day, with some outbreaks heavy. High winds are expected across much of England and Wales.
"It may be worth delaying your journey or taking an alternative route until conditions improve and the snow ploughs have made roads fully passable".
Train services from Inverness to Kyle of Lochalsh and Wick were affected, with the line blocked between the Highland capital and Beauly.
'Outbreaks of rain, some of it heavy, will accompany the strong winds and will add to the hard driving conditions'.
Heavy and persistent rain is expected across parts of northwest Wales, northern England and southern Scotland on Wednesday before gradually easing during Wednesday night. "There remains some uncertainty regarding where the heaviest snow will fall".
Strong winds are expected to move east across England and Wales on Wednesday and the strongest of winds will ease from the south-east of England around dawn on Thursday.
Gusts of between 65mph and 70mph are expected along exposed coasts and over high ground, with 50mph winds more likely in other areas/.
Many places within the warning area will also see strong winds and between 25 and 50mm of rain, with around 100mm possible on higher ground.
Road and commuting disruptions are likely and people have been warned to expect lengthy journeys if travelling through certain parts of the country.