Sam Quilty, a warden at St Mary's Church said the island with 130 people told Premier has been cut off from the mainland since Tuesday evening.
"People have been prepared and got quite a lot of supplies but I think we will begin to notice it if it goes on for another two or three days," she said.
"We still have power which is good because that tends to go off in weather like this."
Strengthening winds have caused blizzards and drifting snow in some parts of the country, spelling travel problems for the fourth day in a row.
Flood warnings were also issued in several coastal regions by the Environment Agency, which published seven warnings and 20 alerts for south west and north east England.
A1 lindisfarne will probably remain closed for rest of the day. @northumbriapol @N_landCouncil Everyone is doing their best to clear the road and keep people safe. pic.twitter.com/FuTpImFqPf
— Andy Huddleston (@AndyHuddleston3) March 2, 2018
Quilty said many people on the island are elderly and people have been checking on each other to make sure they're safe.
She asked that people pray for them as they ride out Storm Emma.
"Just pray we will be able to get some supplies form the mainland at some point," she said. "Pray for us that people keep safe and we don't have any accidents because of course that would be quite a challenge for us at the moment."
However, she explained that residents of the Holy Island are looking on the bright side of the situation.
"People are out in it," she said. "They just love it. The scenery here is just amazing. People are out walking their dogs and quite frankly enjoying the island while it's quiet. We are busy in the summer so this is quite nice to have the island back to ourselves for a while. "
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