Chief Inspector Adrian Annandale, Local Area Commander for North East Fife said: "This incident will undoubtedly leave the local community within Leven both shocked and deeply angry and I want to assure the public that we are doing everything we can to identify whoever is responsible".
An 82-year-old grandmother was battered to death with a rolling pin in her own home in what detectives have described as a "brutal" and "horrific" attack.
The detective confirmed that Mrs Logie was found dead in her living room by a neighbour who was concerned after she had not answered a telephone call.
There were no signs of forced entry to the house and officers are said to be keeping an open mind as to whether Mrs Logie knew her killer.
"I have been the minister here for nine years and she came virtually every Sunday and I would chat to her at the door".
She had suffered head injuries, the Daily Record reported.
"Mary was friendly and outgoing, a kind lady who was bright and interesting to talk to".
"There are many Church members here who will be alarmed such a thing could have happened within the community at Leven".
The minister said Mrs Logie attended lunches at the church every Tuesday and Friday and had only recently given up driving.
Police are trying to piece together the final hours prior to her death.
Police have launched an investigation after an elderly woman was found dead in her home.
'It's obviously somebody who's clearly got into the house.
Officers, who are following various lines of inquiry, are now carrying out an extensive house-to-house investigations in the area and looking at CCTV footage.
Mr Hardie said: "My job and my number one priority is to try and narrow that period down so we know exactly when this crime has taken place to give us a more direct focus on a particular time".
DCI Hardie said: "I spoke to the son this morning". I don't think he's taken it in yet.
Her family paid tribute to the "beloved mother, grandmother and friend".
The pensioner was found in the living room of her house in Leven's Broom area on Tuesday evening.
"We will have high-visibility patrols within the Green Gates area for the time being and if you have any information that can assist us with this investigation please speak to one of the officers on patrol".
