In 1993 she was the first female recipient of the Broadcaster of the Year award from the Colorado Broadcasters Association. She also won the First Amendment Freedom Prize from the Anti-Defamation League. The Colorado Black Journalists Association gave her their Lifetime Achievement Award in 1993. In 1976 the Colorado Press Women named her their annual Woman of Achievement. She was inducted into several halls of fame: the Denver Press Club Hall of Fame (1996), the Colorado Women's Hall of Fame (1997), the Silver Circle of the Heartland Chapter of NATAS (1997), and the Broadcast Pioneers of Colorado Hall of Fame (1999). Fifteen years after her retirement as a news anchor, she was among 75 finalists selected by readers in a "Denver Post" survey as one of "Colorado's most influential women". The Reynelda Muse Television Journalism Scholarship was established in her honor in 1998 by the Colorado Association of Black Journalists. The one-year scholarship is awarded annually to an African American student majoring in television journalism at an accredited Colorado college. Reynelda Muse's first husband was Daniel Muse, a fellow Ohioan and University of Denver Law School graduate who served as Colorado Assistant Attorney General from 1975 to 1979 and Colorado Public Utilities Commissioner from 1979 to 1984. They married in 1969 and divorced in 1991. They have three children. From 1974 to 1987 the family lived in the Schulz-Neef House, an historic home built in 1881 in the Whittier neighborhood of Denver. Muse remarried to Marion Iverson in 1997. Following her retirement from television news, Muse relocated to Gary, Indiana, where Iverson was a professor of labor studies at Indiana University Northwest.