Wynne ran for the position of councillor in Clare County Council during the May 2019 Irish local elections. She placed 8th out 9 candidates in her local election area of Kilrush, securing 4% of the first preference vote. In 2020 she was chosen by Sinn Féin local branches in Clare to stand for Sinn Féin in the 2020 Irish general election. She had been the local party members' third choice for a candidate, gaining the nomination after their first choice, Councillor Mike McKee, fell ill and died, and their second choice, Noeleen Moran, withdrew from the nomination process after she felt the local branch had not been prompt enough in convening. Wynne had been considered to be a paper candidate in an election Sinn Féin initially did not expect to gain seats in, however she came second in her constituency with 15% of the first preference vote following a surge in Sinn Féin popularity during the election campaign.
Rent arrears
Following her election victory, an Irish charity came forward claiming that Wynne had refused to pay any rent for a period of four years and they instead had covered the cost, believing they would be eventually repaid. The charity itself, Rural Resettlement Ireland, closed down but its operators suggested she should give the owed amount, €12,000 to another charity. She subsequently agreed to do so.
Vaccines
Also following her election, Philip Ryan suggesting that Wynne previously proposed some vaccine hesitancy views. The Sinn Féin press office said Wynne's comments were "old remarks" which did not "reflect Sinn Féin policy".
In April 2020, Wynne was criticised for her conduct on social media by some of her constituents after she referred to fellow Clare TDs Pat Breen and Timmy Dooley as "Prat Breen" and "Timmy Do Nothing". She was also accused of belittling constituents who asked questions in relation to the COVID-19 pandemic. A Spokesperson representing Sinn Féin in County Clare referred to her behaviour as "A prime example why the party’s social media guidelines should be followed at all times on social media platforms." Following the criticisms, Wynee issued a formal apology, stating “I understand that a number of remarks I made on Facebook recently have caused offence. I want to apologise for this and to those involved”.
