"His wife and son heard the commotion and went out to see what was going on", Pursell told reporters.
Paul McDonald was killed by his pet deer while he tried to feed it on Wednesday morning.
"They will be very aggressive and territorial", Mr Howlett said.
The husband died at the scene and his wife was flown by helicopter to the Alfred Hospital in Melbourne where she condition was described as critical.
Local resident Patrice Larkin said she knew the couple well.
Police said it's believed a man and woman were attacked by a deer on their property.
Police shot the deer before a paramedic treated the couple.
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Autumn is mating, or rutting, season for many species of deer, and is a particularly risky time to be around the wild animals.
In the nine years to 2017, Australia has not logged any deaths directly caused by deer, though 77 deaths were linked to cows and horses, the Australian Broadcasting Corp reported, citing the national statistics agency.
"Moyhu is a small community ... the people who are involved in the incident are well known to them, so what we're looking at putting in place are some opportunities for counselling for community members", Acting Senior Sergeant Pursell said.
Police say the deer was a Wapiti - a cross between a Red deer and an Elk.
He added that Australia's deer farming industry, where valuable velvet is extracted from antlers, has "declined greatly over the last 20 to 30 years".
"Deer sightings and reports of public safety risk are becoming more common", the report said.