SYDNEY, Australia — An Australian woman who says she was fired after posting tweets in support of greater access to abortion has filed a lawsuit against her former employer and will fight to get her job back.

Angela Williamson, who worked in a government relations and public policy role at Cricket Australia, the sport’s governing body here, said she was told her position had become “untenable” amid concerns that she insulted the Tasmanian state government in the series of Twitter posts this year.

The case, which is under review by the government’s Fair Work Commission, includes allegations that a senior member of the Tasmanian government disclosed to Cricket Australia that Ms. Williamson, a former Tasmanian government staff worker, had undergone an abortion herself.

Ms. Williamson, a 39-year-old mother of three, says she was among the first women in Tasmania to have to fly to mainland Australia for an abortion after the island state’s only dedicated abortion clinic closed in January because of high running costs.