They will continue a four-game road swing Thursday night without the suspended Henry when they play the Seattle Sounders.
New York (5-2-8) opened this stretch of road games with a wild 3-3 tie against Portland on Sunday. Henry moved into a tie for the MLS lead with Los Angeles midfielder Landon Donovan with his eighth goal, but the contest will be remembered more for his controversial ejection in the 90th minute.
Henry looked as though he had patted Portland midfielder Adam Moffat on the back of the head a few times after helping him from up from a tumble. But Moffat said appearances were deceiving and Henry popped him hard, twice.
The French striker is suspended for this game because of the red card. That decision, as well as the fact that the Red Bulls were whistled for 25 of the game's 30 fouls, caused a harsh reaction from general manager Erik Soler.
"We have carefully reviewed the film of our match against Portland and I can safely say that the level of refereeing was absolutely below the standards of what is required for a MLS match and completely unacceptable," Soler said in a statement. "First, the red card given to Thierry Henry was inexplicable. There was no violent conduct on his part whatsoever and this decision was made by a linesman who was more than half a field away.
"Second, in any soccer game, there is no way that one team can draw 20 more fouls than the other team, especially in a match where one team drew just five fouls. I have never seen this occur in my 30 years in the game."
Dwayne De Rosario's penalty-kick goal in the 90th minute rescued a point for New York, which is 1-0-5 in its last six matches.
The Red Bulls remain without forward Juan Agudelo and defender Tim Ream, who are with the United States team for the Gold Cup. Agudelo scored in a season-opening 1-0 victory over Seattle (6-4-7) on March 19.
The Sounders aren't concerned that they won't see Henry in the rematch.
"The cool part about it is that our fans are coming to watch the Sounders," goalkeeper Kasey Keller told the team's official website. "They're not coming to watch Thierry Henry. It's an added bonus if he's there, but it's not going to make a difference."
Fredy Montero ended his six-game goal drought in Seattle's 1-0 victory at Toronto FC on Saturday. The Sounders drew their previous two matches.
"That goal was amazing," Montero said. "I was looking to score in the past four or five games and I just want to keep working hard."
Montero has scored four of the Sounders' five all-time goals against New York, including two in the franchise's first game - a 3-0 home victory March 19, 2009.