Brentford Palmer began his career as a youth at
Brentford and embarked on a scholarship at the beginning of the
2002–03 season. His maiden call into the first team squad came for a
Football League Trophy first round match against
Milton Keynes Dons on 28 September 2004. Muldowney made his only appearance for the club as a substitute for
Stephen Hunt at half time during the 3–0 defeat. It was Muldowney's final involvement for the first team and he joined
Isthmian League Premier Division club
Kingstonian on a work experience
loan in December 2004. He made six appearances for the club before returning to
Griffin Park in March. After a further loan away,
Staines Town In March 2005, Muldowney joined Isthmian League Premier Division club
Staines Town on loan until the end of the
2004–05 season. He made just one appearance before returning to Brentford at the end of the season. Muldowney signed for Staines Town permanently during the 2005 off-season, but managed only eight appearances before departing in October 2005.
Chertsey Town Muldowney joined Isthmian League Second Division club
Chertsey Town in October 2005. He made 18 appearances during the 2005–06 season.
Wealdstone Muldowney transferred to Isthmian League Premier Division club
Wealdstone in July 2007. He made 22 appearances during the
2007–08 season.
Return to Chertsey Town Muldowney returned to Chertsey Town on loan in December 2007, a move which was later turned into a permanent signing. He made 22 appearances during the 2007–08 season and scored no goals. A broken toe disrupted the second half of Muldowney's
2008–09 season and he was denied the chance to win the first
silverware of his career after Chertsey were removed from the Premier Challenge Cup Final, for fielding an ineligible player in their semi-final win over
Worcester Park. Muldowney made 41 appearances during the 2008–09 season and scored four goals.
Egham Town Muldowney transferred to Combined Counties League Premier Division club
Egham Town during the 2009 off-season. He had a first successful first season with Egham, making 41 appearances and scoring three goals as the Sarnies achieved a fourth-place finish in the league. After a mediocre 2010–11 season which saw the Sarnies finish 13th (though Muldowney improved his goal tally to four), they made a challenge for the title in the 2011–12 season, Everything came right for the club in the 2012–13 season, with Muldowney making 45 appearances and scoring five goals on the way to the Combined Counties League Premier Division title. He made 40 appearances and scored two goals during a mid-table
2013–14 season, before dropping to 24 appearances and one goal in
2014–15 and departing in February 2015.
Hanworth Villa Muldowney joined Combined Counties League Premier Division club
Hanworth Villa during the
2014–15 season. He played through to the
2017–18 season and was a part of the club's 2018
Middlesex Senior Charity Cup Final-winning squad. == Managerial and coaching career ==