Cardinal Keith O'Brien, who admitted that his sexual conduct had "fallen beneath the standards" expected of him when he resigned, "will be leaving Scotland for several months for the purpose of spiritual renewal, prayer and penance."
Cardinal O'Brien resigned as the head of the Catholic Church in Scotland at the end of February.
More top news
The letter was signed by the CBI, British Chambers of Commerce, the EEF, the Institute of Directors and the Federation of Small Businesses.
A spokesperson said Rory Stewart's remarks were in line with the British government’s stated position.
The minister's intervention will come a week after Trump decertified the landmark agreement claiming it was not in the US national interest.