Bernard Randall, 65, pleaded not guilty at his initial hearing last month to the charges, which were brought after his laptop was stolen and films on the computer were handed to a Ugandan tabloid newspaper.
However, the case was adjourned until December 4 to allow defence lawyers time obtain a copy of the evidence.
"They have set the audience to December 4 so our lawyer can obtain a copy of the accusations and evidence," Randall, who appeared white-faced and visibly upset as he sat in the courtroom told AFP.
Randall, who faces a two-year sentence if convicted, fears he will be deported from Uganda.
A former computer systems expert in the finance industry who comes from Kent in southeast England, Randall first came to Uganda in 2011, shortly after his wife died just short of their 40-year wedding anniversary.
Randall, who has two grown-up daughters, only came out as a homos*xual after his wife's death.
He returned on holiday to Uganda in September, but days after he arrived, thieves broke into the house where he was staying, stealing cash, mobile telephones and his computer.
The thieves passed images on the laptop to the newspaper, allegedly using anti-gay pastor Solomon Male as an intermediary.
In 2011, Ugandan gay rights activist David Kato was bludgeoned to death at his home after a newspaper splashed photos, names and addresses of gays in Uganda on the front page along with a yellow banner reading 'Hang Them'.
Uganda has repeatedly cracked down on gay activists, and proposed legislation – stalled but still awaiting a hearing before parliament – that would see the death penalty imposed for certain homos*xual acts if passed.