Sinoxolo Kwayiba broke the deadlock at the FNB Stadium after 48 minutes and Mduduzi Shabalala ensured a share of the spoils with his equaliser after 58 minutes.
Amakhosi remain unbeaten this season but have now drawn five of their opening eight games to sit in fourth place with 14 points, while Stellies are in seventh place with 10 points.
Sheppard fielded questions at the post-match press conference as Fernando Da Cruz fell ill after the match.
Reflecting on the game, a disappointed Sheppard explained that the team need to find a way to score more goals.
"It is not a case of settling for a point," he said in the Citizen.
"Each game is different, with different merits and objectives, but we want to win football games. I think we are doing enough to win, but if you look at the type of goals we are conceding, we have to be better."
"I think the stats show that we are second or third in the league in terms of conceding (the fewest) chances," he added. But teams are still scoring (against us). It is something we have to improve. And also as an attacking force, (Wandile) Duba had a chance again today, he could be top goalscorer already. But these are things we must keep working on the training pitch to try and improve.
"We are not losing games but it is not good enough."
"As the game went on we wanted to throw bodies forward but we were a bit back-heavy," continued Sheppard.
"They threw two up front and we were five (at the back). We tried to get the wing backs higher and to get other midfielders to join but we didn't have that, we have to go back and improve. We get into the final third and are not able to capitalise. It is something we have to work on."
Chiefs are next in action against Red Arrows in a CAF Confederation Cup Second round qualifier on Saturday.
Stellenbosch FC coach Gavin Hunt believes his side can challenge for the Carling Knockout Cup despite their inconsistent start to the Betway Premiership season, pointing to the competition's history of producing unexpected winners.
Kaizer Chiefs forward Mfundo Vilakazi is determined to help Amakhosi secure victory against Red Arrows in the first leg of the second preliminary round of the CAF Confederation Cup.
TS Galaxy chairman Tim Sukazi has revealed that Kaizer Chiefs marketing and commercial director Jessica Motaung contacted him after the Rockets published a social media post poking fun at AmaKhosi following the Carling Knockout last-16 draw.
Kaizer Chiefs will look to make a positive start to their CAF Confederation Cup campaign when they face Zambian Cup winners Red Arrows in the first leg of their second preliminary-round tie in Ndola on Saturday.
