Saints were never tested by the Rs at Loftus Road.
Adkins looked relieved by the result in the post-match press conference and lauded his players' for their impressive display in west London.
"It was a good performance from us again today and it culminated in the three points we were after," he said.
"I think it shows a good growing maturity about the players as well. We've come away from home and picked up three good points. You're in the Premier League and every game brings its own pressures, its own demands.
"We're after winning games of football. We're after developing the players. You could see again that we have players that are maturing all the time. There were some really good performances.
"We had a good defensive shape about ourselves today. We know we can score goals, we scored three goals away from home.
"There is a confidence growing all the time amongst the players we've got. In the Premier League, you're always going to get the media attention and when you're at the top or the bottom it is only going to intensify."