[5] After compiling a record of 7–2 (4 KOs), she defeated Martha Leticia Arevalo via ten-round unanimous decision (UD) to capture the vacant Mexican interim female bantamweight title on 21 August 2004, at the Palenque de la Expo in Ciudad Obregón, Mexico.
[6] In her next fight she faced Lucia Avalos for the inaugural WBA female super flyweight title on 28 February 2005, at the Palenque del Hipódromo de Agua Caliente in Tijuana, Mexico.
[7] Four fights later she moved up in weight to challenge for a second world championship, the WBC female bantamweight title, against reigning champion Kwang Ok Kim on 21 October 2005, at the Jungjuyoung Gymnasium in Pyongyang, North Korea.
[9] Two fights later she suffered another defeat after moving up another weight class, losing by UD against WIBF featherweight champion Ina Menzer on 28 July 2007, at the Burg-Waechter Castello in Düsseldorf, Germany.
[11] After two years out of the ring, Rivas returned to action in January 2010 to score a UD victory against Magdalena Leija[12] before facing Zulina Muñoz for the vacant WBC Youth female bantamweight title.
[16][17][18][19] Following her appearance on Champions Challenge, Rivas defeated Gabriela Gonzalez via ninth-round corner retirement (RTD) on 14 July 2011, capturing the vacant NABF female flyweight title at Jose Cuervo Salon in Mexico City.
The fight was stopped at the end of the sixth round, on advice from the ringside doctor, after Rivas suffered a cut from an accidental clash of heads, with the result relying in the judges' scorecards.
[26] She next had a rematch against Jessica Gonzalez on 27 August 2016, at the Palenque de la Feria in Gómez Palacio, Mexico, with the vacant WBC International female super bantamweight title on the line.
In a fight which was the first English-language women's world title contest to be aired on national television in the U.S., Rivas suffered the tenth defeat of her career, losing via ten-round UD with the judges' scorecards reading 99–91, 98–92 and 97–93.