your PM back home

Context:

The scenario, based on a real video from a short-video platform, has been slightly adapted by removing the exact country names and changing the original job title.

A girl from country X, a tourist according to my observation from the video, is walking on the street in a city in country Y. A male is interviewing her and recording the interview video there to upload to social media.

Male: Where are you from?

Girl: Country X.

Male: Do you like your Prime Minister (PM) back home?

It seems the reason why "your" and "back home" are used together is the fact that the girl is a citizen of country X.

My question:

Assuming country X only permits single citizenship, if the girl gave up her original citizenship of country X and acquired another nationality, how would the PM of country X be referred to in relation to the girl? Would it be "her/the former/previous/past PM (back home)"?

If she identifies herself as being from (say) Australia, then Australia is "back home" and the Australian PM is her PM. This would apply irrespective of her actual citizenship; she may have been born in a different country, arrived as a child, and not had her citizenship changed.

Some people can identify two places as being "home". At one time many Australians referred to England as "home" despite being born in Australia. But "where are you from" would get the answer "Australia", or a place within Australia.

If she has changed her nationality and now lives in her new country of nationality, a question about her former PM might be understood as referring to a former PM of her new country, or about a past PM of country X, but not about the current PM of country X unless that is still the same as when she left country X. To ask her about the current PM of her former country you would need to specify that this is what you meant. Using "back home" would most likely be confusing.