Shelbourne say they have not made a complaint to the FAI about last Sunday's women's cup final and have no intention to do so.
Doubts emerged surrounding the eligibility of a substitute used by Wexford Youths, who won the game 3-1.
It's believed the FAI have started to look into the matter, but Shelbourne say they won't be pursuing the issue.
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In a statement, Shels said they were beaten by the better team on the night and congratulated Wexford on their win.