Roddar was born in Falun, Sweden, and started to play youth football with local club Slätta SK.[2][3] She later represented Falu Elit DFF and Korsnäs IF at youth level.[4]
Returning to Sweden, she won promotion with Kvarnsveden by claiming the Elitettan title in 2015.[9][10][11] In 2016, aged 24, Roddar made her debut in Damallsvenskan, making 22 appearances throughout the season, helping her side finish 9th in the table.[12][8] In 2017, she scored twice in 19 appearances, but was unable to save her side from relegation.[13]
On 13 November 2017, Roddar joined Göteborg FC in Damallsvenskan, effective in January 2018.[14] She helped her side finish 2nd in the Damallsvenskan table in her debut season, making 22 appearances.[8]
In 2019, Roddar made 19 league appearances, scoring three goals, as Göteborg finished 2nd in Damallsvenskan for a second consecutive season.[8] On 1 May 2019, Göteborg won the 2018–19 Svenska Cupen. Roddar appeared in the final, that ended in a 2–1 win at home against Kristianstads DFF.[15] In the 2019–20 UEFA Women's Champions League, the side was knocked out in the round of 32 on away goals (2–2 on aggagate) to Bayern Munich, with Roddar playing the first leg.[16][17] On 27 September 2019, Roddar signed a new two-year contract with the club.[18]
In 2020, Göteborg won their first ever Damallsvenskan title, with Roddar scoring three goals in 21 appearances.[19][8][20] In the 2020–21 UEFA Women's Champions League, Roddar played in both legs as Göteborg lost in the round of 32 to Manchester City by 1–5 on aggregate.[21]
On 26 January 2021, Roddar signed a two-year contract with the Washington Spirit in the NWSL.[22] In her debut season, the club won the NSWL Championship for the first time in its history, with Roddar making 17 appearances.[23][24]
In 2022, Roddar made 17 appearances, but Washington Spirit only finished 11th in the regular season table.[24] She was offered a new contract by Washington Spirit at the end of the year, but decided to turn it down.[25]
On 2 December 2022, Roddar signed a three-year contract with Hammarby IF in Damallsvenskan, effective in January 2023.[26] On 6 June 2023, Hammarby won the 2022–23 Svenska Cupen. Roddar appeared in the final, that ended in a 3–0 win at home against BK Häcken.[27] The club also won the 2023 Damallsvenskan, claiming its second Swedish championship after 38 years, with Roddar making 24 league appearances.[28][8] At the end of the season, she was nominated for the prize of Damallsvenskan Midfielder of the Year, that eventually was awarded to Yuka Momiki from Linköping FC.[29]