A police friend of PCSO Julia James said her murder has left the entire force "in shock" - as the killer remains at large.
Kelly Adsia, also a PCSO who knew the victim from Canterbury, Kent, came to see the floral tributes laid for her pal on Saturday.
Ms James's body was found on the edge of woodland in Snowdown, near Aylesham, on Tuesday.
Police said a post-mortem exam ruled she died from "significant head injuries" and a murder probe has been launched.
Ms James, whose body was found just a few hundred yards from her house, had been walking her dog when she was killed.
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Ms Adsia told the PA news agency: "Everyone is just in shock and hoping it comes to a speedy resolution.
"I know that my colleagues will not stop - they will do that for anybody - but they will not stop until we find whoever did this.
"If they (the killers) knew Julia and met her for even five seconds they would not have done this - even if they had just said hello to her, they would not have done this.
"We want to remember her and not what has happened - that is what we want to focus on.
"We are never going to know (what happened) until somebody finds them."
Ms Adsia added that the police family was "looking after each other" in the wake of the horror incident.
"It is one thing we are all good at, thank God, which is looking after each other," she said.

"She was involved in so many people's lives. We all know her to a certain extent and we are all looking after each other.
"We are just completely in shock and completely numb and can't compute it at all.
"We are just trying to focus on the amazing times we had with her, the laughs and the hugs, rather than what happened because that (her killing) dehumanises her."
Ms Adsia said that she could not find the words to describe Ms James and how great a loss her death is.
She said: "You can say amazing and wonderful but it is not enough and it sounds like a cliche.
"When you say that someone is lovely, it makes them sound like she was a wet lettuce and she wasn't.
"She was so cheeky, funny and naughty. She would walk into the office and we would all be laughing. She was just like a ray of sunshine.

"There are just not the words you can use (to describe her). She was just so wonderful and lovely."
Julia, 53, joined Kent Police in 2008 and recently supported victims of domestic abuse.
Her family paid tribute to her in a statement released through the force on Friday.
It said: "There are no words to adequately describe the void left in our lives by the death of our mum.
"She was so much to so many people; a wife, mother, daughter, nanny, sister and a friend.
"Mum was fiercely loyal, she loved with her whole heart and nothing was too much trouble for the people she cared about.
"She had a beautiful smile and was always quick to laugh, she was so naturally funny with a brilliant sense of humour.
"It’s difficult to describe a person in a few sentences, to describe who they truly were is impossible, but the people who knew her will know how kind she was and how she would bring so much fun and life to a room.

"Her loss will be felt by us every moment of every day. She will be so sorely missed.
"As a family we are trying to understand how we will navigate our lives without her, it seems an impossible task.
"We would like to thank everybody who has messaged and left flowers, the outpouring of love and support from friends, the local community and our policing family has been enormous.
"After meeting with the police we have every confidence that they are doing everything within their power to find the person responsible and I urge everybody who may have any information, however small or insignificant to contact the police.
"You could be helping us get justice for Julia."
Police continue to investigate Julia's death, with teams of officers scouring fields near her home for clues.

Assistant Chief Constable Tom Richards said: "We understand that people may be feeling uncertain at the moment about their safety following Julia’s death.
"We advise people in the area to remain vigilant until the full circumstances of the death are established.
"The safety of our communities remains our priority and we urge anyone who has concerns to speak to our officers who are out and about in the local community or contact us."
Detectives have said they cannot not rule out the possibility Julia had been attacked by a stranger, but were investigating "all possibilities in terms of motive and suspects".