Born to and raised by Australian mother. Then married Australian man before moving to Australia.
I think the blood and subsequent marriage connection helped immensely in how she is viewed. I think that would be the same for most other Euro nations. At least one parent of the land along with partner from the land and residing in the land for 30+ years.
I really don't think most people care about the fact she has an Australian mother. In fact, I myself had forgotten that fact. If she hadn't, I don't think it would really make a difference to how she is viewed in Australia. (My mother was born in Scotland but calling myself “Scottish” feels weird, like the real Scots are going to call me out for being a fake one.)
Virginia Roberts Giuffre has been called an "Australian" by the Australian media (e.g. [0]) even though as far as I am aware she has no Australian ancestry. She is also married to an Australian man but I think you are putting more emphasis on that fact than what counts. Most Australians, if they think of her as an Australian, it is because she has adopted this country as her homeland through immigration, not because she married an Australian. If she married an Australian but stayed in the US, nobody would think of her as Australian. If she had moved here as a single person, or with a non-Australian husband, people probably still would.
In somewhat of the reverse, the British politician Patricia Hewitt was born in Australia and grew up here, but I'd probably think of her as British first and Australian very much second. The country in which she has lived the bulk of her adult life, and in which she has had her political career, is more significant in identifying her than where she was born and raised.
[0] https://www.watoday.com.au/national/western-australia/virgin...
The original quote we were discussing, "Immigrants to America tend to become American; emigrants to other countries from America tend to stay American" is mistaken because it is viewing it primarily in terms of Americanness, instead of the nature of the society receiving the immigrant
I don't think that's true of Australia. American Australians tend to assimilate pretty well, and after a while people tend to mostly forget they were Americans originally, even if they still have a bit of an accent. The Australian politician Kristina Keneally is an example. She was born in Nevada, grew up in Ohio, didn't move to Australia until her 20s. But I don't think anyone really thinks of her as "an American". She's an Australian politician. You might like her politics or you might dislike them, but nobody really cares about where she was born and grew up. She's one of us now.
The Australian media has even taken to (at times) calling Virginia Roberts Giuffre (the most notable public victim of Jeffrey Epstein) "an Australian", without qualification. (She married an Australian man, had kids with him, now they live here.) Whereas the American media just calls her an American.
The Australian media always wanted to view Mel Gibson as an Australian, even when he said that he himself identified as an American rather than as an Australian. (I think they are less keen on that now that he has made himself a bit of a persona non grata through his behaviour. America, you can have him.)