The images, taken by award-winning royal photographer Chris Jackson, capture efforts to make a difference to the lives of the vulnerable children of Lesotho.
The exhibition at the Getty Images Gallery in London will be open to the public from 26th July until 10th August.
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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.