ABC newswoman Barbara Walters fell at an inauguration party at an ambassador’s home in Washington and has been hospitalized. Walters, 83, fell Saturday night at the residence of Britain’s ambassador to the United States, Peter Westmacott, ABC News spokesman Jeffrey Schneider said. The fall left Walters with a cut on her forehead, he said. Walters, out of an abundance of caution, went to a hospital for treatment of the cut and for a full examination, Schneider said on Sunday. She was alert and was ‘‘telling everyone what to do, which we all take as a very positive sign,’’ he said.