Karen Belej, 31, was discovered inside a house in Montana Avenue, Cardross, with a gunshot wound to her head about 7.30pm on Sunday.
She worked for the Mildura Rural City Council as an Acting Governance Team Leader.
Ms Belej’s family has requested privacy and will “consider making a statement in the near future,” a statement released by Victoria Police said.
White Ribbon, a non-profit organization which aims to prevent men’s violence against women in Australia, said Ms Belej was a “passionate and committed” White Ribbon supporter.
“We are devastated to hear about her death,” a statement said.
“Our deepest sympathies to Karen’s family, friends, colleagues and the Mildura community.”
Tributes described Ms Belej as a “Scentsy Sister” – someone who sold scented candles.
Friends and family started a social media campaign with the hashtag #warmersforkaren, whereby her network of colleagues honoured her life by lighting a scented candle.
“I can’t believe she has been taken from the world so suddenly,” a Facebook tribute from Ange Renwick said.
“Family violence is everywhere. Please speak up. Ask for help.”
A cousin of Ms Belej, Hannah Al-Smadi, thanked the online community for caring for her cousin.
“Please pray for our family,” she wrote. “I will miss you Karen.”