The incident, which brought Reid a technical foul and ejection, came 47 seconds into overtime of Minnesota's 110-108 triumph.
Reid was whistled for a charging foul on Houston big man Alperen Sengun early in overtime. The T-Wolves challenged the call but were denied after video review, a result that led Reid to complain to referee Scott Foster about the decision, leading to his ejection.
The 26-year-old American, in his seventh NBA campaign all with Minnesota, was voted the NBA Sixth Man of the Year in 2024 as the league's top reserve player.
Minnesota stands 45-28, fifth in the Western Conference just behind Denver with nine games remaining in the regular season.
The Rockets are sixth in the West, 1.5 games behind the Timberwolves.
