She played college basketball for the Iowa State Cyclones and competed internationally with the Canada national team.

[12] Carleton made the Lynx roster for the 2020 season,[13] and became a key part of the team – filling in for the injured Sylvia Fowles.

[20] The award winner is chosen by a committee of team staff and players who determine who "best embodies the altruistic traits of kindness, selflessness and overall regard for the well-being of others throughout the community."

Minnesota Lynx General Manager Clare Duwelius said about Carleton, "Like Syl did, Bridget leads with kindness, joy, authenticity, and selflessness.

"[20] In November 2023 Carleton signed with Hungarian team SERCO UNI Győr in the EuroLeague to play in 2023 after the completion of the WNBA season.

[21] On January 17, 2024 she netted 41 points against KGHM BC Polkowice and her amazing perimeter play contributed to her racking up a stellar performance efficiency valuation of 47 after also adding 6 rebounds and 4 steals.

Since the 1996-97 season, it was the third highest behind Lara Mandic in 2002 who dropped 42 and modern day leader Victoria Bullet who scored a jaw-dropping 48 points for T.M.C Ahena Cesena in 1996.

[16] She started the 2024–2025 season with Györ, but in December, she signed with Çukurova Basketbol of the Turkish Super League.