Dexter got her first job at The Daily Advertiser, which involved "taking dictaphone copy from the Australian United Press service".
She moved to Sydney two years later, working as a copy-typist in the newspaper's radio room, but lost her job when men returned from World War II.
She later wrote that she "became very frustrated" in that role as "there was nothing worse than wanting to write yourself and having to sit with your headphones on taking copy from a reporter who was mumbling around on the other end of the phone.
Dexter worked for a public relations firm until being rehired by The Herald in 1960 as a journalist in the newspaper's women's section.
In her columns, she discussed issues such as the fight for equal pay, abortion rights, and domestic violence.