Born and raised in Cincinnati, Ohio, Huster attended Saint Ursula Academy and helped lead the team to the 2007 High School State Championship with a game-winning goal in the finals. She earned NSCAA/adidas Youth All-American accolades in 2006 and 2007 and was named first team All-State in 2007. Huster was a three-time All-GGCL First Team and a two-time All-Southwest Ohio honoree. She was named a top 50 college recruit by Soccer Buzz. Strong academically, she earned NSCAA Scholar All-America accolades and was named GGCL Scholar Athlete in 2007. She also received All-Southwest Scholar honors from 2005–2007. Huster played club soccer for the Ohio Elite Soccer Academy and helped the team clinch the Super Y LeagueNorth American Championship in 2007. She was named a member of the All-North American final select team the same year. She was also a member of the Region II Olympic Development Program from 2003–2007. She played with the SYL ODP National Select team for four years. Scoring the tying goal in the championship game Huster was part of the U-16 Ohio Elite Soccer Academy girls' team that captured the 2002 US Club SoccerNational Cup in Blaine, Minnesota as a U-13 year old.
Huster attended Florida State University where she was a four-year starter for the Florida State Seminoles and an integral part of the 2011 squad that made the College Cup that year. She was named Atlantic Coast Conference Women's Soccer Scholar-Athlete of the Year the same year. Throughout her collegiate career, Huster scored 20 goals and served 19 assists in her 92 appearances with the Seminoles. In the fall of 2009 Tori received the Golden Torch Award, which is given to the athlete from each sport with the highest grade point average.
Huster played for the Boston Renegades of the American W-League during the summer of 2008 and 2009. She also played for the W-League's Colorado Rush during the summer of 2010. Western New York Flash Out of Florida State University Huster was selected in the second round by the Western New York Flash in the 2012 WPS Draft. The Flash joined the WPSL-Elite in 2012 and continued its winning ways. The team won its third league title with another penalty kick decision. After finishing the regular season 9–3–2, the Flash earned the second seed in the WPSL-E playoffs and went on to defeat the Chicago Red Stars 1–1 to win the 2012 WPSL-Elite National Championship.
Huster signed with the Newcastle Jets in the Australian W-League for the 2012–13 season. She scored her first goal for the Jets during a 3–3 draw against Sydney FC on October 21, 2012. She started in all 12 of her appearances for the squad and scored four goals.
Washington Spirit, 2013–
Huster was the second pick by the Washington Spirit during the 2013 NWSL Supplemental Draft in preparation for the inaugural season of the National Women's Soccer League. She started in all 21 of her 2013 appearances and scored one goal during a 4–2 victory over the Seattle Reign FC on May 17. Huster scored her lone goal of 2014 in a 1–0 win at Chicago Red Stars on April 26. In 2015, Huster played in 17 of the Spirit’s 20 matches, totaling 1177 minutes. In 2016, she played and started 19 regular season matches plus all 120+ minutes of both post season matches. Playing the most minutes of any Spirit player in 2016, she helped lead the Spirit to its first ever NWSL Championship appearance. The midfielder scored her lone goal of the season on July 2 at home in a 2-0 win against FC Kansas City.
Huster signed with Western Sydney Wanderers in the Australian W-League for the 2013–14 season.
Return to Newcastle Jets, 2014
In September 2014 Huster joined Newcastle Jets together with fellow Americans Katherine Reynolds and Angela Salem. Huster started all twelve of Newcastle's matches, scoring three goals.
