The Stoke midfielder was heavily criticised for a tackle on Tottenham's Paulinho last month that is likely to rule the Brazilian out for a month.
Adam was already a hate figure for many Spurs fans, principally because of two tackles on Gareth Bale, and Tottenham complained to the Football Association, who decided against any retrospective action.
Spurs midfielder Sandro, meanwhile, posted a picture of himself on Instagram with the message to Adam: "The Beast (his nickname) is watching you."
Adam took to Twitter to insist he has nothing against Tottenham, and Stoke boss Mark Hughes revealed on Friday that the club may make their own complaint to the FA over the perceived demonisation of their player.
Adam is a robust figure who is unlikely to be losing too much sleep over the matter but he is keen to put it behind him.
He said: "There's no point in me speaking about it, it's done and dusted and we move on.
"That's what happens in football, opinions, but you have to react in the right way and we've done that with a win and we're happy.
"I don't need to answer any questions. For me it's about winning games and scoring goals. If I keep doing that, I'm playing well and the team are winning, then that's the important thing."
Adam made the headlines for the right reasons on Saturday with a fine second goal in Stoke's 2-1 victory over Leicester in the third round of the FA Cup.
It was the midfielder's fifth goal of the season, making him the club's joint highest scorer, and earned a fourth-round trip to Chelsea.
Adam said: "It was a nice strike but the most important thing is we won and got through to the next round. That's what we set out to do at the start of the day and we managed it."
Next up for Stoke is a home match against Adam's former club Liverpool on Sunday.
The Potters have only lost one Premier League match at the Britannia Stadium this season but are looking for their first win in four league games after a difficult festive period.
They almost won their last league match against Everton but Leighton Baines netted an injury-time penalty to earn the visitors a 1-1 draw.
Adam said: "We're going well, we're just disappointed that we lost the goal we did in midweek, which unfortunately cost us two points.
"Hopefully we can bounce back against Liverpool. It's a tough game but an opportunity to win and progress back up the league.
"They're playing well, they've got a number of top players, it's going to be difficult, but we're at home and we want to take the game to them and hopefully get a win."
Stoke only need to look back to last season for encouragement, with Boxing Day's 3-1 victory over Liverpool one of their best performances of the campaign.
"We played really well," said Adam. "We got after them and put pressure on them. It was a great win for us but they'll be coming for a bit of revenge.
"We're disappointed we missed a penalty on the opening day of the season there, we could have got a point. But that's what happens in football.
"We need to prepare right and hopefully we can get the right result."