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Bill Belichick 's Tar Heels couldn't protect their endzone on Saturday, but the North Carolina head coach at least provided some coverage for his girlfriend, Jordon Hudson ... ditching his coat to keep her warm after the game.

The football legend shifted into boyfriend mode after NC State embarrassed his team in a 42-19 effort ... taking the puffy blue jacket off his back to make sure the 24-year-old Hudson was warm in the Raleigh weather Saturday night. Getty

It didn't look like Hudson was prepared for the cold -- she was wearing a navy and Carolina blue ensemble with see-through printed pants ... and her arms were fully exposed.

Needless to say ... Jordon was probably freezing her cheeks off!! Backgrid

She appeared to be thrilled wit

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