A church in the US state of Mississippi was destroyed in a suspected arson, about a month after its pastor filed a lawsuit challenging the city of Holly Springs on gathering restrictions amid the coronavirus outbreak.

First Pentecostal Church in Holly Springs burned down Wednesday morning, news outlets reported. When investigators from the Marshall County Sheriff's Office got to the scene, they found graffiti in the church parking lot that read: "Bet you stay home now you hypokrites".

"We've kind of racked our brains and we have no idea," Jerry Waldrop, the pastor of the church, said. "No enemies that we know of. We don't know anyone that we even think could be capable of doing something like this."

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Waldrop filed a lawsuit against the city of Holly Springs last month, alleging police officers had disrupted a church Bible study and Easter service. Holly Springs City Attorney Shirley Byers said nearly 40 worshippers inside the church building were not practising social distancing on April 10 when a violation citation was issued for the church.

Churchgoers practised social distancing while indoors and only held indoor services when bad weather would not allow them to gather outside, the lawsuit said. Waldrop's complaint also asked for a temporary restraining order to keep city officials from preventing church services.

Mississippi Governor Tate Reeves spoke out against the attack, asking: "What is this pandemic doing to us?"

Reeves' safer-at-home order, which is set to expire Monday, allows churches to operate as essential businesses, but it limits the size of indoor gatherings. The Republican governor has also asked pastors to follow public health recommendations on social distancing and other practices to mitigate the spread of the virus.

Reeves issued guidelines this week for places of worship to restart services inside their buildings.

Byers said the city amended its local order in late April to allow for drive-thru church services.

Covid19.govt.nz: The Government's official Covid-19 advisory website