Matthew is a goalkeeper who played for Waterford side Tramore AFC in the 2012/13 season. In January 2014 he played on trial with Waterford United and impressed enough to join the club's first team. He made his league debut in the south-east derby away to Wexford Youths on 16 May 2014 and made a total of 5 league appearances that year.

In 2015 Matthew made eighteen league appearances for the Blues in the First Division as they finished seventh. In January 2016, Matthew moved to local rivals Wexford Youths for the 2016 Premier Division campaign although he stayed as the number two behind Graham Doyle in the league during his time at he club.

On July 9th, 2016, Connor played for Cork City in a friendly against Fulham and signed for the Premier Division club after the game. He did not make a senior appearance for the Rebels and in January 2017 he moved on, signing back at Waterford FC under Pat Fenlon.

In November 2017, Connor re-signed with Waterford for the 2018 season. In December 2018, Matthew signed a new deal with Waterford ahead of the 2019 campaign.