Eleanor Holmes Norton, who captured seven of the District's eight wards on the way to becoming delegate-elect to Congress, said yesterday the outcome had doused the firestorm over her taxes and she foresaw no difficulty in winning acceptance on Capitol Hill.

"The voters have put the issue behind me, and they're the only people who really could," Democrat Norton said on the day after winning 62 percent of the vote in her contest against Republican Harry M. Singleton.

Rep. Steny H. Hoyer (Md.), the fourth-ranking House Democrat, predicted "a certain reticence" toward Norton among some members of Congress and even behind-the-back snickers because she and her husband failed to file D.C. income taxes during the last eight years. "I don't think there is any doubt that there will be some aspects of that," Hoyer said.

But Hoyer, who said he accepts Norton's explanation that she was unaware her husband had not filed their returns, said her "competence and experience" would overcome "whatever publicity and embarrassment" Norton has faced as a result.

"I told her I thought she'd be an excellent member of the House," said Hoyer, referring to a phone conversation he had with Norton.

Two key Republicans on House committees that deal with District affairs said Norton's tax problems would be no obstacle to working with her because D.C. voters clearly want her as their representative.

In addition, Norton's reception will probably be made easier by the defeat Tuesday of Rep. Stan Parris (R-Va.), the ranking member of the House District Committee and one of the harshest critics of the city and its officials.

"As far as I'm concerned, the lady starts with a clean slate," said Rep. Thomas J. Bliley Jr. (R-Va.), a member of the House District Committee.

"With the case laid out there for the people of the District of Columbia, they said, 'Hey, as far as we're concerned, that's unfortunate, but it doesn't have any bearing on her ability to be a representative,' " Bliley added.

Rep. Dean Gallo (R-N.J.), a member of the D.C. subcommittee of the House Appropriations Committee, said, "They had the election. She's the delegate.

"The voters had ample opportunity to evaluate the revelations that took place during the campaign, and even with those problems, they had enough confidence in her to elect her."

Norton said she could not "think of anything else that could emerge" about her taxes, though she said her husband, Edward, was still opposed to releasing their federal income tax returns to supplement summaries they have released of their D.C. returns. Asked if District or federal investigations of the couple's taxes were underway, Norton said, "If so, we haven't heard about it."

Congressional aides said Norton's biggest problem in succeeding Del. Walter E. Fauntroy, who stepped down after 19 years on Capitol Hill to run unsuccessfully for mayor, would not be the questions surrounding her taxes but her status as a freshman member seeking additional federal funding for the District at a time of austerity.

"The problem with getting more money will not be her credibility. It's the overall federal budget," said one aide who asked not to be identified.

"The obstacles are in Congress itself," said Gallo. "There's been a lack of trust and a lack of confidence in the D.C. government. A lot of that lays with the lame duck mayor . . . . There's a tremendous opportunity that comes with a new mayor {and} hopefully a delegate that's working with a new mayor."

Norton, who said increasing the federal payment to the city will be her top priority, will automatically be a member of the House District Committee, and she said she was still contemplating which other committee appointments to seek. Hoyer said that he believed Norton also wanted to be assigned to the powerful Appropriations Committee, but "that's not likely for a freshman, any freshman."

Norton, a Georgetown University law professor, would not comment on whether she intended to resign her teaching post, saying she wished to consult with school officials. But she said she planned to be a full-time delegate.

Complete results from the city's 140 precincts showed that Norton swamped Singleton, a former Reagan administration official, in six wards. Her margin was much narrower in Ward 2, which includes Georgetown. She lost Ward 3, west of Rock Creek Park, by a ratio of nearly 3 to 1.

Exit polling conducted for The Washington Post indicated that most of the city's white voters, who live in Ward 3, voted for Singleton.

"I intend . . . to reach to people who did not vote for me," Norton said. "I will represent them on the Hill and I intend to represent them ably."