Old Belvedere rallied near the end but DUFC were too strong throughout the game to defeat the Trinity side.
Small formerly served as a member of the Irish squad, a coach at Loreto Hockey Club, and the assistant coach to the Leinster Men’s under-21 team.
All other clubs will be prohibited from competing in matches so long as Dublin is under level-three restrictions.
The Leinster Senior Cup has been deemed an "elite" competition, meaning it will go ahead despite the new level three restrictions.
Trinity Sport told patrons of the centre to 'mask up to keep everyone safe while at Trinity Sport Centre'.
Ireland has hosted the National Athletics Championships for nearly 150 years.
Trinity’s Linda Djougang and Kathryn Dane will be in the Ireland squad for their Six Nations matches this Autumn.
Teams can run either 45km, 100km or 250km, or participants can do the challenge as an individual.
They are among seven other additions, who all played for the Irish under-20 squad in the 2020 Six Nations competition.
Due to the shortened season, no teams will be promoted or relegated next season.