The vandalism comes four days after the Supreme Court allowed a Texas law banning most abortions after six weeks into a pregnancy.
Acts of vandalism targeting churches are increasing across Europe during this period of Easter.
On Monday, a Greek Catholic church was set on fire, and two days later, on Wednesday morning a Catholic church was found damaged.
On average, an attack on religious buildings, churchyards and cemeteries happens almost every other day in Northern Ireland.
"We can't allow a handful of people to destroy religious freedom" underlined Louisiana Senator John Kennedy.
The Saint-Pierre-de-La Vernière church has been classified as a heritage building since 1992.
The Sumela Monastery stands as an important pilgrimage for Greek Christians.
The list of vandalised churches in France grows as acts of anti-Christian vandalism multiply.