Baxter hailed his team for staging a comeback in a game which for the greater part of it saw United dominate proceedings.
In truth, the Team of Choice allowed Chiefs back into the game by sitting back.
“I cannot complain, the team’s courage to continue playing was admirable,” Baxter said.
United’s goals were scored by Ryan de Jongh and Bhongolwethu Jayiya from the penalty spot while Chiefs’ goals came from striker Kingston Nkhatha and Tefu Mashamaite.
The draw took Chiefs to 40 points, nine ahead of Mamelodi Sundowns who have 31.
Sundowns have two games in hand as they have played 16 to Chiefs’ 18.
Chiefs entered this game on the back of nine wins in succession.
Baxter handed youngster Lorenzo Gordinho his debut at rightback and said Gordinho acquitted himself well despite conceding a penalty.
“He did very well playing out of position against a team that was solely looking to strike on the counter-attack,” Baxter said.
“It was a big test for him but I am pleased with him, although I think he can still do better.”
Gordinho is a centre-back and had to fill the gap at right-back as Siboniso Gaxa was shifted to the left in the absence of the injured Tsepo Masilela.
This weekend Chiefs shift their focus to the Caf Champions League preliminary round second leg against Namibia’s Black Africa.
They travel to the neighbouring country with a 3-0 lead from the first leg last Saturday.