;Pierides Mouses Maria Palama started her career at second division club Pierides Mouses. In 2013, the club was relegated to the third division, where it remained for the next two seasons. She left in the summer of 2015 after 2.5 years. Palama decided to leave in December, only 6 months after she joined the team. ;PAOK In 2017, she joined 12-time league champions
PAOK. In her first and only season, she made 22 appearances and scored 4 goals, helping the team win their 4th consecutive championship. In August 2017, she made her
UEFA Women's Champions League debut in a
qualifying round match against
Sarajevo, when she came on as a substitute in the 81st minute for
Elena Dimitrijević.
PAOK qualified for the
knockout phase, where Palama started both games as they lost 8–0 on aggregate to
Sparta Praha. ;Empoli In the summer of 2018, she made her first move abroad, joining
Italian club
Empoli, who competed in
Serie B. In her first season she only made 6 appearances as her team finished second in the league and won promotion for the
2019–20 Serie A. She picked up an
ACL injury during international duty. She also made 15 appearances for the U19 team, including 3 in the
2019 Viareggio Cup, and scored 2 goals. ;Diósgyőr In 2020, she moved to
Hungary and
Női NB I side
Diósgyőri VTK. During her 2 seasons at the club, she played 42 times and scored 6 goals. In the 2020/21 season, they finished 4th after losing to
Astra Hungary in a match for 3rd place. In the 2021/22 season, they finished 5th and failed to qualify for the
playoffs round. In the 2021
Hungarian Cup, they reached the semifinals where they lost to
Astra Hungary. ;MTK In 2022, she joined
Női NB I club
MTK Hungária. In the 2022/23 season, she made 25 appearances and scored 4 goals.
MTK finished 3rd in the league after beating Puskás Akadémia in the third-place match. In 2023/24, she scored 4 goals in 28 total appearances as her club finished 3rd in the league and reached the final of the
Hungarian Cup. She also competed in the 2024
NB I Indoor Football Cup, helping MTK reach the final where they lost on penalties to KÉSZ–St. Mihály. In 2024/25, she scored 4 goals in 22 appearances, MTK finished 4th in the league and reached once again the
Hungarian Cup final where they lost on penalties to
ETO Győr for the second year in a row. ;Budapest Honvéd In 2025, she signed for Budapest Honvéd. ==International career==