But while he may be on speed dial for royal requests, the clout of his fellow monks is on the wane in the remote kingdom as it absorbs the impact of technology and democracy as well as an abuse scandal.
"Bhutan is changing. The monastic body is going down and down," Tshering told AFP at Dechen Phodrang, the monks' school where he is principal, which is perched with majestic views over the capital Thimphu.
Bhutan -- nestled in the Himalayas and flanked by both India and China -- is renowned for its rich Buddhist culture, and villages are still steeped in its traditions.
Fluttering prayer flags are a common sight, as are giant flying phalluses painted on walls to ward off evil -- a symbol of a national saint, the "Divine Madman", who is believed to have subjugated demonesses with his penis in the 15th and 16th centuries.
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Protecting the Buddhist culture is a key pillar of Bhutan's unique "Gross National Happiness" development model, which aims to balance spiritual and mental well-being with economic growth.
"People are less god-fearing, less superstitious... The number of rituals they do has gone down," agreed Karma Phuntsho, author of "The History of Bhutan" and a former monk.
Phuntsho said the Bhutanese worldview has changed dramatically since secular education was widely introduced in the 1960s, weakening the dominance of monastic schools that for centuries were a powerful force.
Bhutan was unified in the 17th century by a Tibetan Buddhist teacher, and the old 'dzong' fortresses, part-monastery and part-government offices, are a reminder of the previous intertwining of religion and politics.
"They don't have a say at all, they don't have a franchise to vote. So political authority has really waned," said Phuntsho.
In terms of spiritual influence, some say monastic materialism is partly to blame for a decline.