A Florida pastor who has been arrested in her 11-month-old daughter’s hot-car death believed that the baby had been brought into the church for a Sunday service — and she was “inconsolable and hysterical” when she learned what really happened, authorities said.

Bulaine Molme said in a new arrest affidavit obtained by The Post that she believed her youngest child, Fendra Molme, had been carried by another congregant from her car into Mount of Olives Evangelical Baptist Church in Palm Bay on an 81-degree day late last month.

Molme, a 37-year-old church co-founder and pastor, told a Brevard County sheriff’s detective that she arrived late to a Sunday service on May 28 with her four children, ranging in age between 11 months and 8 years, in her Ford Explorer. Baby Fendra had fallen asleep in the back.

Molme said as she was getting her Bible and laptop out of the trunk, she saw her three older children enter the church with a member of the congregation.

The married mom-of-four told the cops she believed her youngest had also been removed from the SUV by a church member and carried inside, “which was the normal routine every Sunday,” according to the affidavit.

But one thing that was different that day was the fact that Molme didn’t park in her usual spot directly in front of the church entrance, where congregants usually helped unload the children and church equipment. Instead, she parked on the side of the building, according to her husband, Jnmarc Molme.

Bulaine Molme said she did not hear Fendra when she opened the front passenger door to get her robe “and believed she was with her other kids and a church member.”

At no time during the three-hour service did Molme see her daughter in the church, but she told detectives she thought the tot “was just sleeping,” she was quoted as saying.

Her husband, who was playing the piano during the service, told the detective that at one point he mistook another baby that he saw in the crowd for his daughter and did not suspect she was missing until it was too late.

When the prayer service ended around 1 p.m., someone asked the pastor about baby Fendra’s whereabouts, and Molme replied that she could not find her child.

The mom then raced to her SUV and discovered Fendra “unresponsive and limp” in the second-row passenger seat.

When the distraught parent pulled the baby out of her car seat, “her head fell backward,” the affidavit stated.

Molme ran inside the church and called 911 as her husband began CPR on their youngster. Fendra was later taken to Palm Bay Community Hospital, where she died.

According to the arrest affidavit, the tot’s body temperature was 108 degrees. A medical examiner later found that the baby died from hyperthermia caused by overheating.

The deputy noted in the affidavit that both parents were cooperative and “appeared remorseful.”

Four days after the tragedy, Bulaine Molme was arrested on suspicion of felony aggravated manslaughter of a child.

She was released from jail the next day after posting a $15,000 bond. Her arraignment is scheduled for June 27.