A serving police community support officer whose body was found in woodland died from “significant head injuries”, police said.
The body of Julia James, 53, was found in Akholt Wood, Snowdown, near Dover, on Tuesday.
Kent Police said hundreds of officers were working on the case but no motive or suspects had been identified.
A post-mortem examination carried out on Thursday concluded she died from a blunt force trauma, police said.
Ms James had been taking her dog for a walk when she was killed, and her body was found a few hundred yards from her house.
Speaking at a press conference in nearby Aylesham, Assistant Chief Constable Tom Richards, from the Kent and Essex Serious Crime Directorate, said: “There is no evidence that any of her possessions were missing.”
Mr Richards said she had been walking her dog on the day she was killed, adding: “Her dog was unharmed at the scene when police arrived.”
He added it was a “rare and isolated” event, and that Ms James had earlier been working from home and was not in uniform when she was found.
When asked if it was a possibility that she had been attacked by someone she came across in her line of work, he replied: “We are considering all possible motivations and all possible options. We certainly have not established that at this stage.”
Ms James joined the force as a PCSO in 2008 and had more recently been working with victims of domestic abuse while based in Canterbury.
Mr Richards said: “She was a hugely-devoted, passionate individual who was completely committed to serving the people of Kent.
“My heartfelt thoughts go out to her family, her friends and of course her colleagues.”
‘No clear suspects’
Earlier, Kent Police’s deputy chief constable Tim Smith told BBC Radio Kent: “We’ve got hundreds of officers working on that investigation while we try to establish exactly what happened to Julia, and more importantly who did this to Julia and why.
“We are working very hard to identify a motive and we’re working very hard to identify who may have committed this. We don’t have any clear suspects at this time.”
Mr Smith added: “We just don’t know why this has happened.”
He said he was “unable to say either way” if the attack had been sexually motivated.
“We are keeping a very open mind about the motive.”
Ms James’s nephew Karl James told 5 News, his aunt was “just a lovely person”.
He said: “Obviously it’s been a real shock. I work away, but my wife is here – heavily pregnant – and with young kids, so she’s on edge at the moment too.
“So I’ve come home and just waiting for answers – that’s the worst bit really.”
Detectives have appealed for anybody who was in the area on Monday or Tuesday to come forward.
Police have been carrying out searches of woodland and nearby fields, and Ms James’s home was cordoned off.