Gomez recovered from the tackle to score the opening goal mid-way through the second half with a stunning set-piece, before Hugo Rodallega sealed a comfortable victory for the Latics late on.
Henry's team-mate, striker Kevin Doyle, told BBC WM: "We're going to have times during the season when we're down to 10 men. We looked like we could cope with it but a quality free-kick was the difference."
Wolves are, along with West Ham, bottom of the Premier League table with five points from seven matches.
The two sides are due to meet at Molineux after the international break on 16 October.
Doyle added: "West Ham will be a big game, but then the one after that will be a big game. Every one we played last season seemed to be a big game.
"It will be a home game for us, a good chance to put this behind us and get back to winning ways."
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