"politically troubled" is correct and usable in written English.
You can use it to refer to a place or situation that is experiencing internal strife, social unrest, or other negative political issues. For example: "The small nation has been politically troubled for many years, with power struggles and civil unrest."
Worries about the region's economies have also been partly to blame, especially in such politically troubled countries as Thailand, Indonesia and the Philippines.
In the initial discovery euphoria, there were suggestions that the development of the Eastern Mediterranean fields could help to stabilize one of the world's most politically troubled regions.
President Abdulla Yameen inaugurated construction work in a ceremony on Wednesday night in the capital Male of the politically troubled country.
Unfortunately, the State Department appears to be more persuaded by proponents who claim that the pipeline will help reduce America's dependence on oil from politically troubled sources in the Middle East.
Gross domestic product grew only 0.2 percent in the second quarter despite stronger exports and a tourism sector that has rebounded to pre-crisis levels, thanks in part to reduced competition from politically troubled countries in North Africa.
Could it be that our soccer fans find it easier to root for teams from financially depressed, often politically troubled countries, as opposed to those from affluent places like Germany or France?
Iraq itself remains a violent, politically fragmented and troubled place.
Clinicians who work with sex offenders cling to relapse prevention nonetheless, and its durability speaks volumes about the troubled, politically fraught science of treating sex offenders.
To his critics in the West, Robert Mugabe, president of the politically and economically troubled Zimbabwe, is a tyrant, an election rigger, a thug who uses past victimhood to justify further oppression.
William J. Palatucci, one of Gov. Chris Christie's closest friends and political advisers, said Thursday that he was stepping down as a senior executive at Community Education Centers, the politically connected company that dominates the troubled system of halfway houses in New Jersey.
On Monday, the governor of the central bank was cited as a suspect in the Bank Bali affair, in which a troubled bank paid off politically connected officials to intervene in its favor.
