The president has been impeached, but will not be removed. It 1s the same as Andrew Johnson and Bill Clinton, impeached but not removed from office.
Nixon was different, he resigned before the House could impeach him.
Pelosi does not think it is fair because she will not agree with the outcome in the Senate. It is not Pelosi’s role to dictate the outcome in the Senate. Her work is over. She failed as a leader. Now, send the articles to the Senate and get on with the show. At the end of 2020, do everyone a favor and retire Mrs. Pelosi.