Quigley described that she had "so many great memories" she attributed to "the traits of a Catholic school, whether it's a smaller atmosphere or that it's more family-oriented".

The Blue Demons appeared in the NCAA Division I women's basketball tournament during all four seasons of Quigley's career, reaching the second round in 2005 and the sweet sixteen in 2006.

[11][12][13] Mercury star Diana Taurasi would later comment that Quigley made a strong impression on the team, saying "We saw it instantly.

[11] In March 2013, Quigley was signed by the Chicago Sky, returning to the city where she had played in her college career.

Pokey Chatman, then-coach and general manager of the Sky, wanted to sign Quigley after watching her play in European leagues.

[13] The 2014 season was a banner year for Quigley: she played a career-high 24.8 minutes per game, averaging 11.2 points.

[11] The Sky also had a successful year overall, appearing in their first WNBA Finals after defeating the Atlanta Dream and the Indiana Fever in the playoffs.

In 2017, Quigley emerged as a starter for the Sky, and was named a WNBA All-Star for the first time in her career.

[20] In February 2019, she signed a one-year contract extension with the Sky for $117,500, making her the team's highest-paid player for the 2019 season.

Quigley played the Sky's 2021 season opener on May 15, before being sidelined for the rest of the month with a hamstring injury.

[24] She came off the bench for the Sky early in the season, but returned to the starting lineup after the mid-season Olympic break.

[14] She helped the Sky win the 2021 WNBA Finals, recording a team-high 26 points in the series-clinching Game 4.

In the 2022 season, Quigley played and started in 34 of 36 games for the Sky, who earned the second-seed with a 26-10 record, but lost to the Connecticut Sun in the Semifinals.

[25][26] In the 2008–09 season Quigley played for Turkey's Mersin in the Turkish Super League for the first time in her overseas career.

[29] She participated in further preparation matches and eventually earned a place in the Hungarian roster for the EuroBasket Women 2013 qualification.