Are there divisions within the Tibetan movement, or are the Tibetan exile leaders showing one face to the world and another to their own followers? The most militant Tibetan protests in exile (chiefly in India and Nepal) have been led by the Tibetan Youth Congress, which Xinhua May 4 predictably accuses of being a "terrorist" organization. It quotes Bi Hua of the Beijing-based China Tibetology Research Center (CTRC) charging the TYC "sought mutual support from international terrorist organizations such as Al-Qaida and East Turkistan groups." He also claims its membership broadly overlaps with that of the Tibetan Government in Exile. Yet in an interview with the Nepali Times, Dolma Chomo, both a leader of the Nepal-Tibet Solidarity Forum (which "has been coordinating the Tibetan protests in Kathmandu") and a member of the Tibetan exile government, fairly explicitly seeks to disassociate himself from the hardline positions of the TYC:

What is the movement's main aim?
Let me make this clear to everyone. Contrary to what’s being said in the media, we are not leading a separatist movement. We are not saying that Tibet should not be a part of China. We know that more than 90 percent of Tibetans are happy being part of China. Our protests are against some of the policies that the Chinese government has in Tibet. We will protest until our demands have been met.

But in Kathmandu you hear "free Tibet" everywhere. There was even an attempt to burn the Chinese flag.
We are not calling for a Free Tibet. Yes, during our movement, some incensed groups may have raised that demand, and some unintended incidents have also taken place. But the police and government have flared up the peaceful movement with their violent suppression of it. Even amongst ourselves, there are people who hold different views. But our fight, as a movement, is for an autonomous Tibet.