Lehlohonolo Majoro cancelled out Ryan Moon's first-half header as Chiefs were held to a 1-1 draw by the Clever Boys.
As a result, Chiefs have dropped to third and failed to close the gap on league leaders, Mamelodi Sundowns.
"The feeling is worse than a loss. A draw that you honestly did not have to play to. The manner in which we conceded, we can't defend a basic cross and you know Bidvest will be looking to bring crosses into the box," Komphela told SuperSport TV.
"If it happens, it happens but we could have done better. There is no reason the ball should find Majoro unmarked there.
"Towards the end we had two brilliant chances. They (Wits) did get chances through our lapses of concentration.
"I'm just angry that we lost the match at a time where you want every point. Tonight's point won't value that much because we could have won that match. There were stages where I thought we were getting to desperate. Instead of just being calm and taking our actions, and the minute you are in a rush, the process won't come through."